Nonoscillation and oscillation theory for functional differential equations

Nonoscillation and Oscillation Theory for Functional Differential Equations

Volumn , Issue , 2004, Pages 1-373

  Agarwal, Ravi P ^a   Bohner, Martin ^b   Li, Wan Tong ^c  

^a FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

^b MISSOURI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (United States)

^c LANZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85027870582     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (304)

1. Ravi Agarwal, Martin Bohner, Donal O’Regan, and Allan Peterson. Dynamic equations on time scales: a survey. J. Comput. Appl. Math., 141(1-2):1–26, 2002. Dynamic equations on time scales.
2. Ravi P. Agarwal. Difference Equations and Inequalities. Marcel Dekker, Inc., New York, 1992.
3. Ravi P. Agarwal, Elvan Akın-Bohner, and Said R. Grace. On the oscillation of higher order neutral difference equations of mixed type. Dynam. Systems Appl., 11(4):459–469, 2002.
4. Ravi P. Agarwal and Martin Bohner. Quadratic functionals for second order matrix equations on time scales. Nonlinear Anal., 33(7):675–692, 1998.
5. Ravi P. Agarwal and Martin Bohner. Basic calculus on time scales and some of its applications. Results Math., 35(1-2):3–22, 1999.
6. Ravi P. Agarwal, Martin Bohner, and Donal O’Regan. Time scale boundary value problems on infinite intervals. J. Comput. Appl. Math., 141(1-2):27–34, 2002. Special Issue on “Dynamic Equations on Time Scales”, edited by R. P. Agarwal, M. Bohner, and D. O’Regan.
7. Ravi P. Agarwal, Martin Bohner, and Patricia J. Y. Wong. Sturm–Liouville eigenvalue problems on time scales. Appl. Math. Comput., 99(2-3):153–166, 1999.
8. Ravi P. Agarwal, Said R. Grace, and Donal O’Regan. Oscillation Theory for Difference and Functional Differential Equations. Kluwer Academic Publishers, Dordrecht, 2000.
9. Ravi P. Agarwal, Maria Meehan, and Donal O’Regan. Fixed Point Theory and Applications, volume 141 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, 2001.
10. Ravi P. Agarwal, X. H. Tang, and Z. C. Wang. The existence of positive solutions to neutral differential equations. J. Math. Anal. Appl., 240(2):446–467, 1999.
11. Calvin D. Ahlbrandt, Martin Bohner, and Jerry Ridenhour. Hamiltonian systems on time scales. J. Math. Anal. Appl., 250(2):561–578, 2000.
12. Calvin D. Ahlbrandt, Martin Bohner, and Tammy Voepel. Variable change for Sturm– Liouville differential expressions on time scales. J. Differ. Equations Appl., 9(1):93–107, 2003.
13. Elvan Akın. Boundary value problems for a differential equation on a measure chain. Panamer. Math. J., 10(3):17–30, 2000.
14. Elvan Akın. Cauchy functions for dynamic equations on a measure chain. J. Math. Anal. Appl., 267(1):97–115, 2002.
15. Elvan Akın, Martin Bohner, Lynn Erbe, and Allan Peterson. Existence of bounded solutions for second order dynamic equations. J. Difference Equ. Appl., 8(4):389–401, 2002. In honor of Professor Lynn Erbe.
16. Elvan Akın, Lynn Erbe, Allan Peterson, and Billûr Kaymakçalan. Oscillation results for a dynamic equation on a time scale. J. Differ. Equations Appl., 7(6):793–810, 2001. On the occasion of the 60th birthday of Calvin Ahlbrandt.
17. Elvan Akın-Bohner and Ferhan M. Atıcı. A quasilinearization approach for two point nonlinear boundary value problems on time scales. Rocky Mountain J. Math., 2004. In press.
18. Elvan Akın-Bohner, Ferhan M. Atıcı, and Billûr Kaymakçalan. Chapter 6: Lower and upper solutions of boundary value problems. In M. Bohner and A. Peterson, editors, Advances in Dynamic Equations on Time Scales, pages 165–188. Birkhäuser, Boston, 2003.
19. Elvan Akın-Bohner and Martin Bohner. Miscellaneous dynamic equations. Methods Appl. Anal., 10(1):11–30, 2003.
20. Elvan Akın-Bohner and Martin Bohner. Exponential functions and Laplace transforms for alpha derivatives. In B. Aulbach, S. Elaydi, and G. Ladas, editors, Conference Proceedings of the Sixth International Conference on Difference Equations, Augsburg, 2004. Taylor and Francis. In press.
21. Elvan Akın-Bohner and Joan Hoffacker. Oscillation properties of an Emden–Fowler type equation on discrete time scales. J. Differ. Equations Appl., 9(6):603–612, 2003.
22. Elvan Akın-Bohner and Joan Hoffacker. Solution properties on discrete time scales. J. Differ. Equations Appl., 9(1):63–75, 2003.
23. D. C. Angelova and Drumi D. Baĭnov. On the oscillation of solutions to second order functional-differential equations. Math. Rep. Toyama Univ., 5:1–13, 1982.
24. D. C. Angelova and Drumi D. Baĭnov. On oscillation of solutions of forced functional-differential equations of second order. Math. Nachr., 122:289–300, 1985.
25. O. Arino and István Győri. Necessary and sufficient condition for oscillation of a neutral differential system with several delays. J. Differential Equations, 81(1):98–105, 1989.
26. Bernd Aulbach and Stefan Hilger. Linear dynamic processes with inhomogeneous time scale. In Nonlinear dynamics and quantum dynamical systems (Gaussig, 1990), volume 59 of Math. Res., pages 9–20. Akademie-Verlag, Berlin, 1990.
27. Bernd Aulbach and Stefan Hilger. A unified approach to continuous and discrete dynamics. In Qualitative theory of differential equations (Szeged, 1988), volume 53 of Colloq. Math. Soc. János Bolyai, pages 37–56. North-Holland, Amsterdam, 1990.
28. Drumi D. Baĭnov, N. T. Markova, and P. S. Simeonov. Asymptotic behaviour of the nonoscillatory solutions of differential equations of second order with delay depending on the unknown function. J. Comput. Appl. Math., 91(1):87–96, 1998.
29. Drumi D. Baĭnov and D. P. Mishev. Oscillation Theory for Neutral Differential Equations with Delay. Adam Hilger Ltd., Bristol, 1991.
30. Edwin F. Beckenbach and Richard Bellman. Inequalities. Springer-Verlag, New York, Inc., 1965.
31. S. J. Bilchev, Myron K. Grammatikopoulos, and I. P. Stavroulakis. Oscillations of higher order neutral differential equations. J. Austral. Math. Soc. Ser. A, 52(2):261–284, 1992.
32. ′ nye napravleniya, pages 30–39. Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 2003. In Russian. Translation in J. Math. Sci. (New York).
33. Martin Bohner. Linear Hamiltonian difference systems: disconjugacy and Jacobi-type conditions. J. Math. Anal. Appl., 199(3):804–826, 1996.
34. Martin Bohner. On disconjugacy for Sturm–Liouville difference equations. J. Differ. Equations Appl., 2(2):227–237, 1996. Difference equations: theory and applications (San Francisco, CA, 1995).
35. Martin Bohner. An oscillation theorem for a Sturm–Liouville eigenvalue problem. Math. Nachr., 182:67–72, 1996.
36. Martin Bohner. Asymptotic behavior of discretized Sturm–Liouville eigenvalue problems. J. Differ. Equations Appl., 3(3-4):289–295, 1998.
37. Martin Bohner. Oscillation criteria for delay dynamic equations. 2003. Submitted.
38. Martin Bohner and José Castillo. Mimetic methods on measure chains. Comput. Math. Appl., 42(3-5):705–710, 2001. Advances in Difference Equations, III.
39. Martin Bohner, Steven Clark, and Jerry Ridenhour. Lyapunov inequalities for time scales. J. Inequal. Appl., 7(1):61–77, 2002.
40. Martin Bohner and Ondřej Došlý. Disconjugacy and transformations for symplectic systems. Rocky Mountain J. Math., 27(3):707–743, 1997.
41. Martin Bohner and Ondřej Došlý. Trigonometric systems in oscillation theory of difference equations. In Dynamic systems and applications, Vol. 3 (Atlanta, GA, 1999), pages 99–104. Dynamic, Atlanta, GA, 2001.
42. Martin Bohner and Ondřej Došlý. Oscillation of symplectic dynamic systems. ANZIAM J., 2004. In press.
43. Martin Bohner, Ondřej Došlý, and Roman Hilscher. Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution. Nonlinear Anal., 47:849–860, 2001.
44. Martin Bohner, Ondřej Došlý, and Werner Kratz. An oscillation theorem for discrete eigenvalue problems. Rocky Mountain J. Math., 2004. In press.
45. Martin Bohner and Paul W. Eloe. Higher order dynamic equations on measure chains: Wronskians, disconjugacy, and interpolating families of functions. J. Math. Anal. Appl., 246(2):639–656, 2000.
46. Martin Bohner and Gusein Sh. Guseinov. Chapter 5: Riemann and Lebesgue integration. In M. Bohner and A. Peterson, editors, Advances in Dynamic Equations on Time Scales, pages 117–163. Birkhäuser, Boston, 2003.
47. Martin Bohner and Gusein Sh. Guseinov. Improper integrals on time scales. Dynam. Systems Appl., 12(1-2):45–66, 2003.
48. Martin Bohner, Gusein Sh. Guseinov, and Allan Peterson. Chapter 1: Introduction to the time scales calculus. In M. Bohner and A. Peterson, editors, Advances in Dynamic Equations on Time Scales, pages 1–15. Birkhäuser, Boston, 2003.
49. Martin Bohner and Roger Hering. Perturbations of dynamic equations. J. Difference Equ. Appl., 8(4):295–305, 2002. In honor of Professor Lynn Erbe.
50. Martin Bohner and Billûr Kaymakçalan. Opial inequalities on time scales. Ann. Polon. Math., 77(1):11–20, 2001.
51. Martin Bohner and V. Lakshmikantham. Formulas of Bendixson and Alekseev for difference equations. Bull. London Math. Soc., 36(1):65–71, 2004.
52. Martin Bohner and Donald A. Lutz. Asymptotic behavior of dynamic equations on time scales. J. Differ. Equations Appl., 7(1):21–50, 2001. Special issue in memory of W. A. Harris, Jr.
53. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
54. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
55. Martin Bohner and Allan Peterson. Advances in Dynamic Equations on Time Scales. Birkhäuser Boston Inc., Boston, MA, 2003.
56. Martin Bohner and Allan C. Peterson. Laplace transform and Z-transform: unification and extension. Methods Appl. Anal., 9(1):151–157, 2002.
57. Martin Bohner and Samir H. Saker. Oscillation criteria for perturbed nonlinear dynamic equations. 2004. Submitted.
58. Martin Bohner and Samir H. Saker. Oscillation of second order nonlinear dynamic equations on time scales. Rocky Mountain J. Math., 2004. In press.
59. G. J. Butler. The existence of continuable solutions of a second order differential equation. Canad. J. Math., 29(3):472–479, 1977.
60. Ming Po Ch’ên, Jian She Yu, and L. H. Huang. Oscillations of first order neutral differential equations with variable coefficients. J. Math. Anal. Appl., 185(2):288–301, 1994.
61. Ming Po Ch’ên, Jian She Yu, and Z. C. Wang. Nonoscillatory solutions of neutral delay differential equations. Bull. Austral. Math. Soc., 48(3):475–483, 1993.
62. S. Chen and Lynn Erbe. Oscillation results for second order scalar and matrix difference equations. Comput. Math. Appl., 28:55–69, 1994.
63. Yong Shao Chen. Existence of nonoscillatory solutions of nth order neutral delay differential equations. Funkcial. Ekvac., 35(3):557–570, 1992.
64. Sui Sun Cheng and Bing-Gen Zhang. Monotone solutions of a class of nonlinear difference equations. Comput. Math. Appl., 28(1-3):71–79, 1994. Advances in difference equations.
65. Qian Chuanxi, Mustafa R. S. Kulenović, and Gerasimos Ladas. Oscillations of neutral equations with variable coefficients. Rad. Mat., 5(2):321–331, 1989.
66. Qian Chuanxi and Gerasimos Ladas. Oscillations of neutral differential equations with variable coefficients. Appl. Anal., 32(3-4):215–228, 1989.
67. Qian Chuanxi, Gerasimos Ladas, Bing-Gen Zhang, and T. Zhao. Sufficient conditions for oscillation and existence of positive solutions. Appl. Anal., 35(1-4):187–194, 1990.
68. Pitambar Das. Oscillation criteria for odd order neutral equations. J. Math. Anal. Appl., 188(1):245–257, 1994.
69. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
70. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
71. Yuri Domshlak and I. P. Stavroulakis. Oscillations of first-order delay differential equations in a critical state. Appl. Anal., 61(3-4):359–371, 1996.
72. Yuri Domshlak and I. P. Stavroulakis. Oscillations of differential equations with deviating arguments in a critical state. Dynam. Systems Appl., 7(3):405–414, 1998.
73. Ondřej Došlý and Stefan Hilger. A necessary and sufficient condition for oscillation of the Sturm–Liouville dynamic equation on time scales. J. Comput. Appl. Math., 141(1-2):147– 158, 2002. Dynamic equations on time scales.
74. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
75. Ondřej Došlý. On the existence of conjugate points for linear differential systems. Math. Slovaca, 40:87–99, 1990.
76. Ondřej Došlý. Oscillation and spectral properties of a class of singular differential operators. Math. Nachr., 188:49–68, 1997.
77. Ondřej Došlý. Oscillation criteria for higher order Sturm–Liouville difference equations. J. Differ. Equations Appl., 4:425–450, 1998.
78. Ondřej Došlý and Roman Hilscher. Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales. J. Differ. Equations Appl., 7:265–295, 2001.
79. M. A. El-Sayed. An oscillation criterion for a forced second order linear differential equation. Proc. Amer. Math. Soc., 118(3):813–817, 1993.
80. Árpád Elbert. A half-linear second order differential equation. In Qualitative theory of differential equations, Vol. I, II (Szeged, 1979), pages 153–180. North-Holland, Amsterdam, 1981.
81. Árpád Elbert. Oscillation and nonoscillation theorems for some nonlinear ordinary differential equations. In Ordinary and partial differential equations (Dundee, 1982), pages 187–212. Springer, Berlin, 1982.
82. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
83. Árpád Elbert and I. P. Stavroulakis. Oscillation and nonoscillation criteria for delay differential equations. Proc. Amer. Math. Soc., 123(5):1503–1510, 1995.
84. Lynn Erbe and Stefan Hilger. Sturmian theory on measure chains. Differential Equations Dynam. Systems, 1(3):223–244, 1993.
85. Lynn Erbe and Allan Peterson. Positive solutions for a nonlinear differential equation on a measure chain. Math. Comput. Modelling, 32(5-6):571–585, 2000. Boundary value problems and related topics.
86. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
87. Lynn Erbe and Allan Peterson. Oscillation criteria for second-order matrix dynamic equations on a time scale. J. Comput. Appl. Math., 141(1-2):169–185, 2002. Dynamic equations on time scales.
88. Lynn Erbe, Allan Peterson, and Pavel Řehák. Comparison theorems for linear dynamic equations on time scales. J. Math. Anal. Appl., 275(1):418–438, 2002.
89. Lynn Erbe, Allan Peterson, and Samir H. Saker. Oscillation criteria for second order nonlinear dynamic equations on time scales. J. London Math. Soc., 67(3):701–714, 2003.
90. Lynn Erbe and P. Yan. On the discrete Riccati equation and its applications to discrete Hamiltonian systems. Rocky Mountain J. Math., 25(1):167–178, 1995.
91. Lynn H. Erbe and Qingkai Kong. Oscillation and nonoscillation properties of neutral differential equations. Canad. J. Math., 46(2):284–297, 1994.
92. Lynn H. Erbe, Qingkai Kong, and Bing-Gen Zhang. Oscillation Theory for Functional-Differential Equations. Marcel Dekker Inc., New York, 1995.
93. Lynn H. Erbe and Jian She Yu. Linearized oscillations for neutral equations. I. Odd order. Hiroshima Math. J., 26(3):557–572, 1996.
94. Lynn H. Erbe and Jian She Yu. Linearized oscillations for neutral equations. II. Even order. Hiroshima Math. J., 26(3):573–585, 1996.
95. Xian-Ling Fan, Wan-Tong Li, and Cheng-Kui Zhong. A classification scheme for positive solutions of second order nonlinear iterative differential equations. Electron. J. Differential Equations, pages No. 25, 14 pp. (electronic), 2000.
96. K. Farrell, Edward A. Grove, and Gerasimos Ladas. Neutral delay differential equations with positive and negative coefficients. Appl. Anal., 27(1-3):181–197, 1988.
97. Tomlinson Fort. Finite Differences and Difference Equations in the Real Domain. Oxford, at the Clarendon Press, 1948.
98. D. A. Georgiou and C. Qian. Oscillation criteria in neutral equations of n order with variable coefficients. Internat. J. Math. Math. Sci., 14(4):689–696, 1991.
99. H. E. Gollwitzer. Nonoscillation theorems for a nonlinear differential equation. Proc. Amer. Math. Soc., 26:78–84, 1970.
100. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
101. Kondalsamy Gopalsamy and Bing-Gen Zhang. Oscillation and nonoscillation in first order neutral differential equations. J. Math. Anal. Appl., 151(1):42–57, 1990.
102. Said R. Grace and Bikkar S. Lalli. Oscillation and convergence to zero of solutions of damped second-order nonlinear differential equations. J. Math. Anal. Appl., 102(2):539–548, 1984.
103. Said R. Grace and Bikkar S. Lalli. Asymptotic and oscillatory behavior of solutions of a class of second order differential equations with deviating arguments. J. Math. Anal. Appl., 145(1):112–136, 1990.
104. John R. Graef, Myron K. Grammatikopoulos, and Paul W. Spikes. Asymptotic and oscillatory behavior of solutions of first order nonlinear neutral delay differential equations. J. Math. Anal. Appl., 155(2):562–571, 1991.
105. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
106. John R. Graef and Paul W. Spikes. Some asymptotic properties of solutions of a neutral delay equation with an oscillatory coefficient. Canad. Math. Bull., 36(3):263–272, 1993.
107. John R. Graef and Paul W. Spikes. On solutions of a neutral equation with an oscillatory coefficient. In World Congress of Nonlinear Analysts ’92, Vol. I–IV (Tampa, FL, 1992), pages 1475–1482. de Gruyter, Berlin, 1996.
108. John R. Graef, Paul W. Spikes, and Myron K. Grammatikopoulos. Behavior of the nonoscillatory solutions of first order neutral delay differential equations. In Differential equations (Xanthi, 1987), pages 265–272. Dekker, New York, 1989.
109. John R. Graef, Paul W. Spikes, and Myron K. Grammatikopoulos. Asymptotic behavior of nonoscillatory solutions of neutral delay differential equations of arbitrary order. Nonlinear Anal., 21(1):23–42, 1993.
110. Myron K. Grammatikopoulos, Edward A. Grove, and Gerasimos Ladas. Oscillation and asymptotic behavior of neutral differential equations with deviating arguments. Appl. Anal., 22(1):1–19, 1986.
111. Myron K. Grammatikopoulos, Edward A. Grove, and Gerasimos Ladas. Oscillations of first-order neutral delay differential equations. J. Math. Anal. Appl., 120(2):510–520, 1986.
112. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
113. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
114. Edward A. Grove, Mustafa R. S. Kulenović, and Gerasimos Ladas. Sufficient conditions for oscillation and nonoscillation of neutral equations. J. Differential Equations, 68(3):373–382, 1987.
115. Edward A. Grove, Gerasimos Ladas, and J. Schinas. Sufficient conditions for the oscillation of delay and neutral delay equations. Canad. Math. Bull., 31(4):459–466, 1988.
116. Gusein Sh. Guseinov and Billûr Kaymakçalan. On a disconjugacy criterion for second order dynamic equations on time scales. J. Comput. Appl. Math., 141(1-2):187–196, 2002. Dynamic equations on time scales.
117. István Győri. On the oscillatory behaviour of solutions of certain nonlinear and linear delay differential equations. Nonlinear Anal., 8(5):429–439, 1984.
118. István Győri and Gerasimos Ladas. Oscillation Theory of Delay Differential Equations. Oxford University Press, New York, 1991.
119. Jack Hale. Theory of Functional Differential Equations. Springer-Verlag, New York, second edition, 1977. Applied Mathematical Sciences, Vol. 3.
120. Godfrey H. Hardy, John E. Littlewood, and George Pólya. Inequalities. Cambridge University Press, Cambridge, 1988. Reprint of the 1952 edition.
121. B. J. Harris and Qingkai Kong. On the oscillation of differential equations with an oscillatory coefficient. Trans. Amer. Math. Soc., 347(5):1831–1839, 1995.
122. Wan-Sheng He and Wan-Tong Li. Nonoscillation and oscillation for neutral differential equations with positive and negative coefficients. Int. J. Appl. Math., 6(2):183–198, 2001.
123. X. Z. He. Oscillatory and asymptotic behaviour of second order nonlinear difference equations. J. Math. Anal. Appl., 175:482–498, 1993.
124. Stefan Hilger. Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. PhD thesis, Universität Würzburg, 1988.
125. Stefan Hilger. Analysis on measure chains—a unified approach to continuous and discrete calculus. Results Math., 18(1-2):18–56, 1990.
126. Stefan Hilger. Differential and difference calculus—unified! In Proceedings of the Second World Congress of Nonlinear Analysts, Part 5 (Athens, 1996), volume 30, pages 2683– 2694, 1997.
127. Roman Hilscher. Discrete spectral criteria for a certain class of singular differential and difference operators. Comput. Math. Appl., 42:465–476, 2001.
128. Roman Hilscher. Reid roundabout theorem for symplectic dynamic systems on time scales. Appl. Math. Optim., 43(2):129–146, 2001.
129. Chunchao Huang. Oscillation and nonoscillation for second order linear differential equations. J. Math. Anal. Appl., 210(2):712–723, 1997.
130. Jaroslav Jaroš. An oscillation test for a class of linear neutral differential equations. J. Math. Anal. Appl., 159(2):406–417, 1991.
131. Jaroslav Jaroš and Takaŝi Kusano. Oscillation theory of higher order linear functional-differential equations of neutral type. Hiroshima Math. J., 18(3):509–531, 1988.
132. Jaroslav Jaroš and Takaŝi Kusano. Asymptotic behavior of nonoscillatory solutions of nonlinear functional-differential equations of neutral type. Funkcial. Ekvac., 32(2):251–263, 1989.
133. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
134. Jaroslav Jaroš and Takaŝi Kusano. On oscillation of linear neutral differential equations of higher order. Hiroshima Math. J., 20(2):407–419, 1990.
135. Jaroslav Jaroš and Takaŝi Kusano. Existence of oscillatory solutions for functional-differential equations of neutral type. Acta Math. Univ. Comenian. (N.S.), 60(2):185–194, 1991.
136. Jaroslav Jaroš and Takaŝi Kusano. Oscillation properties of first order nonlinear functional-differential equations of neutral type. Differential Integral Equations, 4(2):425–436, 1991.
137. Jaroslav Jaroš and Takaŝi Kusano. A Picone type identity for second order half-linear differential equations. Acta Math. Univ. Comenian. (N.S.), 68(1):137–151, 1999.
138. Jaroslav Jaroš, Takaŝi Kusano, and Norio Yoshida. Forced superlinear oscillations via Pi-cone’s identity. Acta Math. Univ. Comenian. (N.S.), 69(1):107–113, 2000.
139. Jaroslav Jaroš and I. P. Stavroulakis. Oscillation tests for delay equations. Rocky Mountain J. Math., 29(1):197–207, 1999.
140. I. V. Kamenev. An integral test for conjugacy for second order linear differential equations. Mat. Zametki, 23(2):249–251, 1978.
141. G. A. Kamenskiĭ. On the asymptotic behavior of solutions of linear differential equations of the second order with retarded argument. Moskov. Gos. Univ. Uč. Zap. Mat., 165(7):195– 204, 1954.
142. Athanassios G. Kartsatos. Recent results on oscillation of solutions of forced and perturbed nonlinear differential equations of even order. In Stability of dynamical systems, theory and applications (Proc. Regional Conf., Mississippi State Univ., Mississippi State, Miss., 1975), pages 17–72. Lecture Notes in Pure and Appl. Math., Vol. 28. Dekker, New York, 1977.
143. Billûr Kaymakçalan, V. Lakshmikantham, and Seenith Sivasundaram. Dynamic Systems on Measure Chains, volume 370 of Mathematics and its Applications. Kluwer Academic Publishers Group, Dordrecht, 1996.
144. Walter G. Kelley and Allan C. Peterson. Difference Equations: An Introduction with Applications. Academic Press, San Diego, second edition, 2001.
145. Ivan T. Kiguradze and Teimuraz A. Chanturia. Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Kluwer Academic Publishers Group, Dordrecht, 1993. Translated from the 1985 Russian original.
146. Mokhtar Kirane and Yuri V. Rogovchenko. Oscillation results for a second order damped differential equation with nonmonotonous nonlinearity. J. Math. Anal. Appl., 250(1):118– 138, 2000.
147. Yuichi Kitamura and Takaŝi Kusano. Oscillation and asymptotic behavior of solutions of first-order functional-differential equations of neutral type. Funkcial. Ekvac., 33(2):325–343, 1990.
148. Yuichi Kitamura and Takaŝi Kusano. Existence theorems for a neutral functional-differential equation whose leading part contains a difference operator of higher degree. Hiroshima Math. J., 25(1):53–82, 1995.
149. Yuichi Kitamura, Takaŝi Kusano, and Bikkar S. Lalli. Existence of oscillatory and nonoscillatory solutions for a class of neutral functional-differential equations. Math. Bohem., 120(1):57–69, 1995.
150. M. Kon, Yiannis G. Sficas, and I. P. Stavroulakis. Oscillation criteria for delay equations. Proc. Amer. Math. Soc., 128(10):2989–2997, 2000.
151. Qingkai Kong. Interval criteria for oscillation of second-order linear ordinary differential equations. J. Math. Anal. Appl., 229(1):258–270, 1999.
152. I.-G. E. Kordonis and Christos G. Philos. On the oscillation of nonlinear two-dimensional differential systems. Proc. Amer. Math. Soc., 126(6):1661–1667, 1998.
153. Mustafa R. S. Kulenović and Myron K. Grammatikopoulos. Some comparison and oscillation results for first-order differential equations and inequalities with a deviating argument. J. Math. Anal. Appl., 131(1):67–84, 1988.
154. Takaŝi Kusano. On even-order functional-differential equations with advanced and retarded arguments. J. Differential Equations, 45(1):75–84, 1982.
155. Takaŝi Kusano and Bikkar S. Lalli. On oscillation of half-linear functional-differential equations with deviating arguments. Hiroshima Math. J., 24(3):549–563, 1994.
156. Takaŝi Kusano and Bhagat Singh. Positive solutions of functional-differential equations with singular nonlinear terms. Nonlinear Anal., 8(9):1081–1090, 1984.
157. Takaŝi Kusano and Norio Yoshida. Nonoscillation theorems for a class of quasilinear differential equations of second order. J. Math. Anal. Appl., 189(1):115–127, 1995.
158. Man Kam Kwong and William T. Patula. Comparison theorems for first order linear delay equations. J. Differential Equations, 70(2):275–292, 1987.
159. Man Kam Kwong and James S. W. Wong. An application of integral inequality to second order nonlinear oscillation. J. Differential Equations, 46(1):63–77, 1982.
160. Man Kam Kwong and James S. W. Wong. Nonoscillation theorems for a second order sublinear ordinary differential equation. Proc. Amer. Math. Soc., 87(3):467–474, 1983.
161. Man Kam Kwong and James S. W. Wong. Oscillation of Emden–Fowler systems. Differential Integral Equations, 1(2):133–141, 1988.
162. Gerasimos Ladas and C. Qian. Oscillation in differential equations with positive and negative coefficients. Canad. Math. Bull., 33(4):442–451, 1990.
163. Gerasimos Ladas, C. Qian, and J. Yan. A comparison result for the oscillation of delay differential equations. Proc. Amer. Math. Soc., 114(4):939–947, 1992.
164. Gerasimos Ladas and Yiannis G. Sficas. Oscillations of higher-order neutral equations. J. Austral. Math. Soc. Ser. B, 27(4):502–511, 1986.
165. Gerasimos Ladas, Yiannis G. Sficas, and I. P. Stavroulakis. Necessary and sufficient conditions for oscillations of higher order delay differential equations. Trans. Amer. Math. Soc., 285(1):81–90, 1984.
166. Gangaram S. Ladde, V. Lakshmikantham, and Bing-Gen Zhang. Oscillation Theory of Differential Equations with Deviating Arguments. Marcel Dekker Inc., New York, 1987.
167. Bikkar S. Lalli and Bing-Gen Zhang. Oscillation of first order neutral differential equations. Appl. Anal., 39(4):265–274, 1990.
168. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
169. Bing Tuan Li. Oscillations of delay differential equations with variable coefficients. J. Math. Anal. Appl., 192(1):312–321, 1995.
170. Bing Tuan Li. Oscillation of first order delay differential equations. Proc. Amer. Math. Soc., 124(12):3729–3737, 1996.
171. H. J. Li and Sui Sun Cheng. Asymptotic monotone solutions of a nonlinear difference equation. Tamkang J. Math., 24:269–282, 1993.
172. Horng Jaan Li. Oscillation criteria for second order linear differential equations. J. Math. Anal. Appl., 194(1):217–234, 1995.
173. Horng Jaan Li. Oscillation criteria for second order linear differential equations. J. Math. Anal. Appl., 194(1):217–234, 1995.
174. Horng Jaan Li and Wei Ling Liu. Oscillations of second order neutral differential equations. Math. Comput. Modelling, 22(1):45–53, 1995.
175. Horng Jaan Li and Cheh Chih Yeh. Nonoscillation theorems for second order quasilinear differential equations. Publ. Math. Debrecen, 47(3-4):271–279, 1995.
176. Wan-Tong Li. Comparison theorems and sufficient and necessary condition for oscillation of first order neutral nonlinear differential equations. Ann. Differential Equations, 12(4):446– 451, 1996.
177. Wan-Tong Li. Classifications and existence of nonoscillatory solutions of second order nonlinear neutral differential equations. Ann. Polon. Math., 65(3):283–302, 1997.
178. Wan-Tong Li. Necessary and sufficient conditions for oscillation of odd order neutral nonlinear equations with variable coefficients and their applications. Dynam. Systems Appl., 7(1):93–103, 1998.
179. Wan-Tong Li. Oscillation of certain second-order nonlinear differential equations. J. Math. Anal. Appl., 217(1):1–14, 1998.
180. Wan-Tong Li. Oscillation of first order neutral nonlinear differential equations with variable coefficients. Indian J. Pure Appl. Math., 29(6):605–615, 1998.
181. Wan-Tong Li. Positive solutions of second order nonlinear differential equations. J. Math. Anal. Appl., 221(1):326–337, 1998.
182. Wan-Tong Li. Asymptotic behavior of nonoscillatory solutions of nth-order neutral nonlinear equations with oscillating coefficients. Nonlinear Anal., 36(7, Ser. A: Theory Methods):891– 898, 1999.
183. Wan-Tong Li. Positive solutions of an odd-order neutral delay nonlinear differential equations. Nonlinear Anal., 36(7, Ser. A: Theory Methods):899–913, 1999.
184. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
185. Wan-Tong Li. Classification schemes for positive solutions of nonlinear differential systems. Math. Comput. Modelling, 36(4-5):411–418, 2002.
186. Wan-Tong Li. Interval criteria for oscillation of second-order half-linear ordinary differential equations. Acta Math. Sinica, 45(3):509–516, 2002.
187. Wan-Tong Li and Ravi P. Agarwal. Interval oscillation criteria for a forced second order nonlinear ordinary differential equation. Appl. Anal., 75(3-4):341–347, 2000.
188. Wan-Tong Li and Ravi P. Agarwal. Interval oscillation criteria for second-order nonlinear differential equations with damping. Comput. Math. Appl., 40(2-3):217–230, 2000.
189. Wan-Tong Li and Ravi P. Agarwal. Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations. J. Math. Anal. Appl., 245(1):171–188, 2000.
190. Wan-Tong Li and Ravi P. Agarwal. Interval oscillation criteria for second order nonlinear differential equations. Ukraïn. Mat. Zh., 53(9):1161–1173, 2001.
191. Wan-Tong Li and Ravi P. Agarwal. Oscillation criteria for second order nonlinear differential equations involving integral averages. Comm. Appl. Nonlinear Anal., 8(4):77–87, 2001.
192. Wan-Tong Li and Ravi P. Agarwal. Interval oscillation criteria for second order nonlinear perturbed differerential equations. Comput. Math. Appl., 2004. In press.
193. Wan-Tong Li and Sui Sun Cheng. Asymptotic linear solutions of a discrete Emden–Fowler equation with singular nonlinear term. Far East J. Math. Sci. (FJMS), 6(4):521–542, 1998.
194. Wan-Tong Li and Sui Sun Cheng. Limiting behaviours of non-oscillatory solutions of a pair of coupled nonlinear differential equations. Proc. Edinburgh Math. Soc. (2), 43(3):457–473, 2000.
195. Wan-Tong Li and Xian-Ling Fan. Monotone solutions of second-order nonlinear differential equations. Appl. Math. Lett., 13(4):65–70, 2000.
196. Wan-Tong Li and Xiang-Li Fei. Classifications and existence of positive solutions of higher-order nonlinear delay differential equations. Nonlinear Anal., 41(3-4, Ser. A: Theory Methods):433–445, 2000.
197. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
198. Wan-Tong Li and Hai-Feng Huo. Oscillation of the Emden–Fowler differential systems. Int. J. Appl. Math., 2(12):1453–1461, 2000.
199. Wan-Tong Li and Hai-Feng Huo. Interval oscillation criteria for nonlinear second-order differential equations. Indian J. Pure Appl. Math., 32(7):1003–1014, 2001.
200. Wan-Tong Li and Xiaohu Li. Oscillation criteria for second-order nonlinear differential equations with integrable coefficient. Appl. Math. Lett., 13(8):1–6, 2000.
201. Wan-Tong Li and Hong Shun Quan. Oscillation of higher order neutral differential equations with positive and negative coefficients. Ann. Differential Equations, 11(1):70–76, 1995.
202. Wan-Tong Li and Hongshun Quan. An oscillation criterion for second order sublinear differential equations. Ann. Differential Equations, 12(3):292–296, 1996.
203. Wan-Tong Li, Hongshun Quan, and Jianhong Wu. Oscillation of first order neutral differential equations with variable coefficients. Commun. Appl. Anal., 3(1):1–13, 1999.
204. Wan-Tong Li and Samir H. Saker. Oscillation of nonlinear neutral delay differential equations with applications. Ann. Polon. Math., 77(1):39–51, 2001.
205. Wan-Tong Li and Jurang Yan. Oscillation criteria for second order superlinear differential equations. Indian J. Pure Appl. Math., 28(6):735–740, 1997.
206. Wan-Tong Li and Jurang Yan. Oscillation of first order neutral differential equations with positive and negative coefficients. Collect. Math., 50(2):199–209, 1999.
207. Wan-Tong Li and Xiaojing Yang. Classifications and existence criteria for positive solutions of systems of nonlinear differential equations. J. Math. Anal. Appl., 2004. In press.
208. Wan-Tong Li and Qixiao Ye. On the existence of asymptotically decaying positive solutions of nth order neutral differential equations. Pure Appl. Math., 11(2):53–62, 1995.
209. Wan-Tong Li, Ming-Yue Zhang, and Xiang-Li Fe. Oscillation criteria for second order nonlinear differential equations with damped term. Indian J. Pure Appl. Math., 30(10):1017–1029, 1999.
210. Wan-Tong Li and Shunian Zhang. Classifications and existence of positive solutions of higher order nonlinear iterative functional differential equations. J. Comput. Appl. Math., 139(2):351–367, 2002.
211. Wan-Tong Li, Zhu Zhao, and Shizhou Yang. Existence theorems for second order nonlinear differential equations. J. Gansu Univ. Technol. (Engl. Ed.), 2(1):81–84, 1998.
212. Wan-Tong Li and Cheng-Kui Zhong. Unbounded positive solutions of higher-order nonlinear functional differential equations. Appl. Math. Lett., 14(7):825–830, 2001.
213. Wan-Tong Li, Cheng-Kui Zhong, and Xian-Ling Fan. Oscillation criteria for second-order half-linear ordinary differential equations with damping. Rocky Mountain J. Math., 33(1):1– 26, 2003.
214. Wu Du Lu. The asymptotic and oscillatory behavior of the solutions of higher order neutral equations. J. Math. Anal. Appl., 148(2):378–389, 1990.
215. Wu Du Lu. Existence of nonoscillatory solutions of first order nonlinear neutral equations. J. Austral. Math. Soc. Ser. B, 32(2):180–192, 1990.
216. Wu Du Lu. Oscillations of high order neutral differential equations with variable coefficients. Math. Appl., 3(2):36–43, 1990.
217. Wu Du Lu. Oscillations of high order neutral differential equations with oscillatory coefficient. Acta Math. Appl. Sinica (English Ser.), 7(2):135–142, 1991.
218. Wu Du Lu. Existence and asymptotic behavior of nonoscillatory solutions to nonlinear second-order equations of neutral type. Acta Math. Sinica, 36(4):476–484, 1993.
219. Wu Du Lu. Nonoscillation and oscillation for first order nonlinear neutral equations. Funkcial. Ekvac., 37(2):383–394, 1994.
220. Wu Du Lu. Nonoscillation and oscillation of first order neutral equations with variable coefficients. J. Math. Anal. Appl., 181(3):803–815, 1994.
221. Jelena Manojlović. Existence of oscillatory and nonoscillatory solutions for a nonlinear system of differential equations. Filomat, (11):135–148, 1997.
222. Jelena Manojlović. Oscillation theorems for a nonlinear system of differential equations. Acta Math. Hungar., 81(1-2):59–67, 1998.
223. Jelena Manojlović. Nonoscillation theorems for Emden–Fowler system of differential equations. Indian J. Pure Appl. Math., 30(7):687–694, 1999.
224. ′ nye Uravnenija, 9:581–583, 592, 1973.
225. D. D. Mirzov. On the question of the oscillation of the solutions of a system of nonlinear differential equations. Mat. Zametki, 16:571–576, 1974.
226. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
227. ′ nye Uravneniya, 17(8):1504–1508, 1535, 1981.
228. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
229. J. D. Mirzov. On some analogs of Sturm’s and Kneser’s theorems for nonlinear systems. J. Math. Anal. Appl., 53(2):418–425, 1976.
230. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
231. Manabu Naito. Asymptotic behavior of solutions of second order differential equations with integrable coefficients. Trans. Amer. Math. Soc., 282:577–588, 1984.
232. Manabu Naito. Nonoscillatory solutions of second order differential equations with integrable coefficients. Proc. Amer. Math. Soc., 109(3):769–774, 1990.
233. Manabu Naito. Integral averages and the asymptotic behavior of solutions of second order ordinary differential equations. J. Math. Anal. Appl., 164(2):370–380, 1992.
234. Yūki Naito. Existence and asymptotic behavior of positive solutions of neutral differential equations. J. Math. Anal. Appl., 188(1):227–244, 1994.
235. Yūki Naito. A note on the existence of nonoscillatory solutions of neutral differential equations. Hiroshima Math. J., 25(3):513–518, 1995.
236. M. Z. Nashed and James S. W. Wong. Some varaints of a fixed point theorem of Krasnoselskii and applications to nonlinear integral equations. J. Math. Mech., 18:767–777, 1969.
237. S. B. Norkin. Diffirintsialnye uravneniya vtorogo poryadka s zapazdyvayushchim argumen-ton. Nekotorye voprosy teorii kolebaniisistem s zapazdyvaniem. Izdat. “Nauka”, Moscow, 1965.
238. Allan C. Peterson. Oscillation of second order linear matrix difference equations. J. Differential Equations, 89:65–88, 1991.
239. Christos G. Philos. On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays. Arch. Math. (Basel), 36(2):168–178, 1981.
240. Christos G. Philos. On a Kamenev’s integral criterion for oscillation of linear differential equations of second order. Utilitas Math., 24:277–289, 1983.
241. Christos G. Philos. Oscillation theorems for linear differential equations of second order. Arch. Math. (Basel), 53(5):482–492, 1989.
242. Christos G. Philos and I. K. Purnaras. Oscillations in superlinear differential equations of second order. J. Math. Anal. Appl., 165(1):1–11, 1992.
243. Xiang Zheng Qian and Liu Sheng Liao. On the oscillations of the equation ẋ(t) + px(t − τ ) − qx(t − σ) = 0. Ann. Differential Equations, 3(3):351–357, 1987.
244. Oscar Quijada and Antonio Tineo. Oscillatory and nonoscillatory results for first order neutral differential equations. J. Math. Anal. Appl., 180(1):37–42, 1993.
245. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
246. Yuri V. Rogovchenko. Oscillation criteria for certain nonlinear differential equations. J. Math. Anal. Appl., 229(2):399–416, 1999.
247. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
248. Shi Gui Ruan. Oscillations for first order neutral differential equations with variable coefficients. Bull. Austral. Math. Soc., 43(1):147–152, 1991.
249. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
250. ′ nye Uravneniya, 17(9):1702–1705, 1727, 1981.
251. J. H. Shen. New oscillation criteria for odd order neutral equations. J. Math. Anal. Appl., 201(2):387–395, 1996.
252. J. H. Shen and I. P. Stavroulakis. Oscillatory and nonoscillatory delay equations with piece-wise constant argument. J. Math. Anal. Appl., 248(2):385–401, 2000.
253. V. N. Shevelo. Ostsillyatsiya reshenii differentsialnykh uravnenii s otklonyayushchimsya argumentom. Izdat. “Naukova Dumka”, Kiev, 1978.
254. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
255. C. A. Swanson. Comparison and Oscillation Theory of Linear Differential Equations. Academic Press, New York, 1968. Mathematics in Science and Engineering, Vol. 48.
256. Satoshi Tanaka. Existence of positive solutions for a class of first-order neutral functional-differential equations. J. Math. Anal. Appl., 229(2):501–518, 1999.
257. Satoshi Tanaka. Oscillatory and nonoscillatory solutions of neutral differential equations. Ann. Polon. Math., 73(2):169–184, 2000.
258. X. H. Tang and J. H. Shen. Oscillation and existence of positive solutions in a class of higher order neutral equations. J. Math. Anal. Appl., 213(2):662–680, 1997.
259. Xianhua Tang and Jianhua Shen. Oscillations of delay differential equations with variable coefficients. J. Math. Anal. Appl., 217(1):32–42, 1998.
260. E. Thandapani, István Győri, and Bikkar S. Lalli. An application of discrete inequality to second order nonlinear oscillation. J. Math. Anal. Appl., 186(1):200–208, 1994.
261. E. Thandapani and S. Pandian. On the oscillatory behaviour of solutions of second order nonlinear difference equations. Z. Anal. Anwendungen, 13(2):347–358, 1994.
262. Bai-Yan Wang, Wan-Tong Li, and Chao Ye. Oscillation criteria for second order nonlinear differential equations. Far East J. Math. Sci. (FJMS), 1(4):649–658, 1999.
263. Zhi Cheng Wang. Necessary and sufficient conditions for oscillations. Ann. Differential Equations, 5(4):475–487, 1989.
264. Zhicheng Wang. A necessary and sufficient condition for the oscillation of higher-order neutral equations. Tohoku Math. J. (2), 41(4):575–588, 1989.
265. Jun Jie Wei. Necessary and sufficient conditions for oscillations of first-order differential equations with deviating arguments and their applications. Acta Math. Sinica, 32(5):632– 638, 1989.
266. Aurel Wintner. On the comparison theorem of Kneser–Hille. Math. Scand., 5:255–260, 1957.
267. James S. W. Wong. On second order nonlinear oscillation. Funkcial. Ekvac., 11:207–234 (1969), 1968.
268. James S. W. Wong. An oscillation criterion for second order nonlinear differential equations. Proc. Amer. Math. Soc., 98(1):109–112, 1986.
269. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
270. James S. W. Wong. Oscillation theorems for second order nonlinear differential equations. Proc. Amer. Math. Soc., 106(4):1069–1077, 1989.
271. James S. W. Wong. Oscillation criteria for second order nonlinear differential equations with integrable coefficients. Proc. Amer. Math. Soc., 115(2):389–395, 1992.
272. James S. W. Wong. Oscillation criteria for second order nonlinear differential equations involving integral averages. Canad. J. Math., 45(5):1094–1103, 1993.
273. James S. W. Wong. An oscillation criterion for second order nonlinear differential equations with iterated integral averages. Differential Integral Equations, 6(1):83–91, 1993.
274. James S. W. Wong. Oscillation criteria for a forced second-order linear differential equation. J. Math. Anal. Appl., 231(1):235–240, 1999.
275. Patricia J. Y. Wong and Ravi P. Agarwal. Oscillation theorems and existence criteria of asymptotically monotone solutions for second order differential equations. Dynam. Systems Appl., 4(4):477–496, 1995.
276. Patricia J. Y. Wong and Ravi P. Agarwal. Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations. Math. Comput. Modelling, 21(3):63–84, 1995.
277. Patricia J. Y. Wong and Ravi P. Agarwal. The oscillation and asymptotically monotone solutions of second-order quasilinear differential equations. Appl. Math. Comput., 79(2-3):207– 237, 1996.
278. Patricia J. Y. Wong and Ravi P. Agarwal. Oscillatory behavior of solutions of certain second order nonlinear differential equations. J. Math. Anal. Appl., 198(2):337–354, 1996.
279. Yuan Tong Xu. Asymptotic behavior of nonoscillatory solutions of higher-order neutral equations. Ann. Differential Equations, 5(2):199–209, 1989.
280. Ju Rang Yan. A note on an oscillation criterion for an equation with damped term. Proc. Amer. Math. Soc., 90(2):277–280, 1984.
281. Ju Rang Yan. Oscillation theorems for second order linear differential equations with damping. Proc. Amer. Math. Soc., 98(2):276–282, 1986.
282. Ju Rang Yan. Oscillatory properties of second-order differential equations with an “integral-wise small” coefficient. Acta Math. Sinica, 30(2):206–215, 1987.
283. Ju Rang Yan. Oscillatory and asymptotic behavior of nth order nonlinear time-delay differential equations. Acta Math. Sinica, 33(4):537–543, 1990.
284. Ju Rang Yan. Comparison theorems and applications of oscillation of neutral differential equations. Sci. China Ser. A, 34(3):273–283, 1991.
285. Ju Rang Yan. Comparison theorems for differential equations of mixed type. Ann. Differential Equations, 7(3):316–322, 1991.
286. Bo Yang and Bing-Gen Zhang. Qualitative analysis of a class of neutral differential equations. Funkcial. Ekvac., 39(2):347–362, 1996.
287. Cheh Chih Yeh. Oscillation theorems for nonlinear second order differential equations with damped term. Proc. Amer. Math. Soc., 84(3):397–402, 1982.
288. Jian She Yu. First-order nonlinear differential inequalities with deviating argument. Acta Math. Sinica, 33(2):152–159, 1990.
289. Jian She Yu. Neutral time-delay differential equations with positive and negative coefficients. Acta Math. Sinica, 34(4):517–523, 1991.
290. Jian She Yu. Oscillations of odd-order neutral equations with an “integrally small” coefficient. Chinese Ann. Math. Ser. A, 16(1):33–42, 1995.
291. Jian She Yu and Ming Po Ch’ên. Oscillation in neutral equations with an “integrally small” coefficient. Internat. J. Math. Math. Sci., 17(2):361–368, 1994.
292. Jian She Yu and Zhicheng Wang. Some further results on oscillation of neutral differential equations. Bull. Austral. Math. Soc., 46(1):149–157, 1992.
293. Jian She Yu, Zhicheng Wang, and Chuan Xi Qian. Oscillation of neutral delay differential equations. Bull. Austral. Math. Soc., 45(2):195–200, 1992.
294. Jian She Yu and Ju Rang Yan. Oscillation in first order neutral differential equations with “integrally small” coefficients. J. Math. Anal. Appl., 187(2):361–370, 1994.
295. Yuan Hong Yu. Leighton type oscillation criterion and Sturm type comparison theorem. Math. Nachr., 153:137–143, 1991.
296. Yuan Hong Yu. Oscillation of solutions of neutral delay differential equations. Acta Math. Appl. Sinica, 14(3):404–410, 1991.
297. Bing-Gen Zhang. Oscillation of first order neutral functional-differential equations. J. Math. Anal. Appl., 139(2):311–318, 1989.
298. Bing-Gen Zhang. The development of the theory of oscillations of functional-differential equations. Kexue Tongbao (Chinese), 43(4):345–354, 1998.
299. Bing-Gen Zhang and Xing-Hua Deng. Oscillation of delay differential equations on time scales. Math. Comput. Modelling, 36(11-13):1307–1318, 2002.
300. Bing-Gen Zhang and Wan-Tong Li. On the oscillation of odd order neutral differential equations. Fasc. Math., (29):167–183, 1999.
301. Bing-Gen Zhang and Jian She Yu. Existence of positive solutions for neutral differential equations. Sci. China Ser. A, 35(11):1306–1313, 1992.
302. Martin Bohner and Allan Peterson. Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser Boston Inc., Boston, MA, 2001.
303. Guang Zhang and Sui Sun Cheng. A necessary and sufficient oscillation condition for the discrete Euler equation. Panamer. Math. J., 9(4):29–34, 1999.
304. Cheng-Kui Zhong, Xian-Ling Fan, and W. Y. Chen. Introduction to Nonlinear Functional Analysis. Lanzhou University Press, 1997. In Chinese.