Oscillatory behavior of solutions of certain second order nonlinear differential equations

Journal of Mathematical Analysis and Applications

Volumn 198, Issue 2, 1996, Pages 337-354

  Wong, Patricia J Y ^a   Agarwal, Ravi P ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030094401     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0086     Document Type: Article

References (15)

1. 1. R. P. Agarwal, "Difference Equations and Inequalities," Dekker, New York, 1992.
2. 2. E. M. Elabbasy, Oscillatory behaviour of solutions of forced second order differential equations with alternating coefficients, Appl. Math. Comput. 60 (1994), 1-13.
3. 3. J. R. Graef and P. W. Spikes, On the oscillatory behaviour of solutions of second order non-linear differential equations, Czechoslovak Math. J. 36 (1986), 275-284.
4. 4. J. W. Hooker and W. T. Patula, A second order non-linear difference equation: Oscillation and asymptotic behaviour, J. Math. Anal. Appl. 91 (1983), 9-29.
5. 5. A. 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," pp. 17-72, Lecture Notes in Pure and Appl. Math., Vol. 28, Dekker, New York, 1977.
6. 6. M. R. S. Kulenovic and M. Budincevic, Asymptotic analysis of non-linear second order difference equations, Anal. Sci. Univ. Iasi. 30 (1984), 39-52.
7. 7. M. K. Kwang and J. S. W. Wong, An application of integral inequality to second order non-linear oscillation, J. Differential Equations 46 (1992), 63-77.
8. 8. V. Lakshmikantham and S. Leela, "Differential and Integral Inequalities," Vol. 1, Academic Press, New York, 1969.
9. 9. E. Thandapani, Oscillatory behaviour of solutions of second order nonlinear difference equations, J. Math. Phys. Sci. 25 (1991), 457-464.
10. 10. E. Thandapani, I. Györi, and B. S. Lalli, An application of discrete inequality to second order nonlinear oscillation, J. Math. Anal. Appl. 186 (1994), 200-208.
11. 11. E. Thandapani and S. Pandian, On the oscillatory behaviour of solutions of second order nonlinear difference equations, Z. Anal. Anwendungen 13 (1994), 347-358.
12. 12. J. S. Wong, On the second order nonlinear oscillations, Funkcial. Ekvac. 11 (1968), 207-234.
13. 13. P. J. Y. Wong and R. P. Agarwal, Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations, Math. Comput. Modelling 21, No. 3 (1995), 63-84.
14. 14. P. J. Y. Wong and R. P. Agarwal, Oscillation theorems and existence criteria of asymptotically monotone solutions for second order nonlinear differential equations, Dynamic Systems Appl., in press.
15. 15. P. J. Y. Wong and R. P. Agarwal, Oscillation theorems for certain second order nonlinear difference equations, to appear.