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Volumn 144, Issue 2-3, 2003, Pages 305-324

Oscillation of second-order perturbed nonlinear difference equations

Author keywords

Oscillation; Second order difference equations

Indexed keywords

ASYMPTOTIC STABILITY; NONLINEAR EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS;

EID: 0037774708     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00409-5     Document Type: Article
Times cited : (13)

References (35)
  • 1
    • 0038786054 scopus 로고    scopus 로고
    • Oscillation of second-order linear difference equations
    • Abu-Risha M.H. Oscillation of second-order linear difference equations. Appl. Math. Lett. 13:2000;129-135.
    • (2000) Appl. Math. Lett. , vol.13 , pp. 129-135
    • Abu-Risha, M.H.1
  • 2
    • 3042568390 scopus 로고    scopus 로고
    • Difference equations and inequalities
    • revised and expanded, New York: Marcel Dekker
    • Agarwal R.P. Difference equations and inequalities. Theory, Methods and Applications. second ed., revised and expanded:2000;Marcel Dekker, New York.
    • (2000) Theory, Methods and Applications, Second Ed.
    • Agarwal, R.P.1
  • 4
    • 0038786056 scopus 로고    scopus 로고
    • Asymptotic behavior of positive solutions of second order quasilinear difference equations
    • Arul R., Thandapani E. Asymptotic behavior of positive solutions of second order quasilinear difference equations. Kyungpook Math. J. 40:2000;275-486.
    • (2000) Kyungpook Math. J. , vol.40 , pp. 275-486
    • Arul, R.1    Thandapani, E.2
  • 5
    • 0037771647 scopus 로고
    • A comparison theorems for asymptotically monotone solutions of nonlinear difference equations
    • Cheng S.S., Li H.J. A comparison theorems for asymptotically monotone solutions of nonlinear difference equations. Bull. Inst. Acad. Sinica. 21:1993;299-302.
    • (1993) Bull. Inst. Acad. Sinica , vol.21 , pp. 299-302
    • Cheng, S.S.1    Li, H.J.2
  • 6
    • 0035426710 scopus 로고    scopus 로고
    • Nonoscillation criteria for half-linear second order difference equations
    • Dosly O., Rehak P. Nonoscillation criteria for half-linear second order difference equations. Comput. Math. Appl. 42:2001;453-464.
    • (2001) Comput. Math. Appl. , vol.42 , pp. 453-464
    • Dosly, O.1    Rehak, P.2
  • 7
    • 0032202702 scopus 로고    scopus 로고
    • Oscillation in nonlinear difference equations
    • Fu S.C., Tasi L.Y. Oscillation in nonlinear difference equations. Comput. Math. Appl. 36:1998;193-201.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 193-201
    • Fu, S.C.1    Tasi, L.Y.2
  • 9
    • 0000969972 scopus 로고
    • Oscillatory and asymptotic behavior of second order nonlinear difference equations
    • He X.Z. Oscillatory and asymptotic behavior of second order nonlinear difference equations. J. Math. Anal. Appl. 175:1993;482-498.
    • (1993) J. Math. Anal. Appl. , vol.175 , pp. 482-498
    • He, X.Z.1
  • 10
    • 0020497016 scopus 로고
    • A second-order nonlinear difference equations: Oscillation and asymptotic behavior
    • Hooker J., Patula W.T. A second-order nonlinear difference equations: oscillation and asymptotic behavior. J. Math. Anal. Appl. 91:1983;9-29.
    • (1983) J. Math. Anal. Appl. , vol.91 , pp. 9-29
    • Hooker, J.1    Patula, W.T.2
  • 11
    • 0002791901 scopus 로고
    • Asymptotic analysis of nonlinear second order difference equations
    • Kulenovic M.R.S., Budincevic Asymptotic analysis of nonlinear second order difference equations. An. Stin. Univ. Iasi. 30:1984;39-52.
    • (1984) An. Stin. Univ. Iasi , vol.30 , pp. 39-52
    • Kulenovic, M.R.S.1    Budincevic2
  • 12
    • 0038109168 scopus 로고
    • An oscillation theorem for a second order nonlinear difference equation
    • Li H.J., Cheng S.S. An oscillation theorem for a second order nonlinear difference equation. Utilitas Mathematica. 44:1993;177-181.
    • (1993) Utilitas Mathematica , vol.44 , pp. 177-181
    • Li, H.J.1    Cheng, S.S.2
  • 13
    • 0000415320 scopus 로고
    • Asymptotic monotone solutions of a nonlinear difference equation
    • Li H.J., Cheng S.S. Asymptotic monotone solutions of a nonlinear difference equation. Tamaking J. Math. 24:1993;269-282.
    • (1993) Tamaking J. Math. , vol.24 , pp. 269-282
    • Li, H.J.1    Cheng, S.S.2
  • 14
    • 0034162480 scopus 로고    scopus 로고
    • Oscillation theorems for second order nonlinear difference equations
    • Li W.T. Oscillation theorems for second order nonlinear difference equations. Math. Comput. Model. 31:2000;71-79.
    • (2000) Math. Comput. Model. , vol.31 , pp. 71-79
    • Li, W.T.1
  • 15
    • 0032182478 scopus 로고    scopus 로고
    • Oscillation criteria for a nonlinear difference equations
    • Li W., Cheng S.S. Oscillation criteria for a nonlinear difference equations. Comput. Math. Appl. 36:1998;87-94.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 87-94
    • Li, W.1    Cheng, S.S.2
  • 16
    • 0034195769 scopus 로고    scopus 로고
    • On unbounded positive solutions of second-order difference equations with a singular nonlinear term
    • Li W.T., Fan X.L., Zhong C.K. On unbounded positive solutions of second-order difference equations with a singular nonlinear term. J. Math. Anal. Appl. 246:2000;80-88.
    • (2000) J. Math. Anal. Appl. , vol.246 , pp. 80-88
    • Li, W.T.1    Fan, X.L.2    Zhong, C.K.3
  • 17
    • 0038786058 scopus 로고    scopus 로고
    • Oscillation criteria for second order nonlinear delay difference equations
    • Liu Z.R. Oscillation criteria for second order nonlinear delay difference equations. Kyungpook Math. J. 39:1999;127-132.
    • (1999) Kyungpook Math. J. , vol.39 , pp. 127-132
    • Liu, Z.R.1
  • 18
    • 0038786057 scopus 로고    scopus 로고
    • New criteria for oscillation and existence of monotone solutions of second order nonlinear difference equations
    • Peng M., Ge W., Xu Q. New criteria for oscillation and existence of monotone solutions of second order nonlinear difference equations. Appl. Comput. Applic. 114:2000;103-114.
    • (2000) Appl. Comput. Applic. , vol.114 , pp. 103-114
    • Peng, M.1    Ge, W.2    Xu, Q.3
  • 19
    • 34249969865 scopus 로고
    • Oscillation theorems for linear differential equation of second order
    • Philos Ch.G. Oscillation theorems for linear differential equation of second order. Arch. Math. 53:1989;483-492.
    • (1989) Arch. Math. , vol.53 , pp. 483-492
    • Philos, Ch.G.1
  • 20
    • 0034670484 scopus 로고    scopus 로고
    • Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations
    • Rehak P. Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations. J. Math. Anal. Appl. 252:2000;813-827.
    • (2000) J. Math. Anal. Appl. , vol.252 , pp. 813-827
    • Rehak, P.1
  • 21
    • 0001853315 scopus 로고
    • Oscillation theorems for nonlinear second-order difference equations
    • Szmanda B. Oscillation theorems for nonlinear second-order difference equations. J. Math. Anal. Appl. 79:1981;90-95.
    • (1981) J. Math. Anal. Appl. , vol.79 , pp. 90-95
    • Szmanda, B.1
  • 22
    • 0000680633 scopus 로고
    • Oscillation criteria for second order non-linear difference equations
    • Szmanda B. Oscillation criteria for second order non-linear difference equations. Anal. Pol. Math. XLIII:1983;225-235.
    • (1983) Anal. Pol. Math. , vol.43 , pp. 225-235
    • Szmanda, B.1
  • 23
    • 0022101378 scopus 로고
    • Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order
    • Szmanda S. Nonoscillation, oscillation and growth of solutions of nonlinear difference equations of second order. J. Math. Anal. Appl. 109:1985;22-30.
    • (1985) J. Math. Anal. Appl. , vol.109 , pp. 22-30
    • Szmanda, S.1
  • 24
    • 0001667966 scopus 로고
    • Characterization of oscillation of second order nonlinear difference equations
    • Szmanda B. Characterization of oscillation of second order nonlinear difference equations. Bull. Polish. Acad. Sci. Math. 34:1986;133-141.
    • (1986) Bull. Polish. Acad. Sci. Math. , vol.34 , pp. 133-141
    • Szmanda, B.1
  • 25
    • 0000552733 scopus 로고
    • Oscillatory behavior of difference equations of second order
    • Szafranski Z., Szmanda B. Oscillatory behavior of difference equations of second order. J. Math. Anal. Appl. 150:1990;414-424.
    • (1990) J. Math. Anal. Appl. , vol.150 , pp. 414-424
    • Szafranski, Z.1    Szmanda, B.2
  • 26
    • 0001498557 scopus 로고
    • Oscillation theorems for perturbed nonlinear second order difference equations
    • Thandapani E. Oscillation theorems for perturbed nonlinear second order difference equations. Comput. Math. Appl. 28:1994;309-316.
    • (1994) Comput. Math. Appl. , vol.28 , pp. 309-316
    • Thandapani, E.1
  • 27
    • 0003136063 scopus 로고
    • Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations
    • Wong P.J.Y., Agarwal R.P. Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations. Math. Comput. Model. 21:1995;63-84.
    • (1995) Math. Comput. Model. , vol.21 , pp. 63-84
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 28
    • 0000699957 scopus 로고    scopus 로고
    • Oscillation and monotone solutions of second order quasilinear difference equations
    • Wong P.J.Y., Agarwal R.P. Oscillation and monotone solutions of second order quasilinear difference equations. Funk. Ekv. 39:1996;491-517.
    • (1996) Funk. Ekv. , vol.39 , pp. 491-517
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 29
    • 0030293729 scopus 로고    scopus 로고
    • Summation averages and the oscillations second-order nonlinear difference equations
    • Wong P.J.Y., Agarwal R.P. Summation averages and the oscillations second-order nonlinear difference equations. Math. Comput. Model. 24:1996;21-35.
    • (1996) Math. Comput. Model. , vol.24 , pp. 21-35
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 30
    • 0032202663 scopus 로고    scopus 로고
    • Oscillations and nonoscillation of half-linear difference equations generated by deviating arguments
    • Wong P.J.Y., Agarwal R.P. Oscillations and nonoscillation of half-linear difference equations generated by deviating arguments. Comput. Math. Appl. 36:1998;11-26.
    • (1998) Comput. Math. Appl. , vol.36 , pp. 11-26
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 31
    • 0002538017 scopus 로고
    • Oscillation and asymptotic behavior of second order difference equations
    • Zhang B.G. Oscillation and asymptotic behavior of second order difference equations. J. Math. Anal. Appl. 173:1993;58-68.
    • (1993) J. Math. Anal. Appl. , vol.173 , pp. 58-68
    • Zhang, B.G.1
  • 32
    • 0000837804 scopus 로고    scopus 로고
    • Oscillation and nonoscillation for second-order linear difference equations
    • Zhang B.G., Zhou Y. Oscillation and nonoscillation for second-order linear difference equations. Comput. Math. Appl. 39:2000;1-7.
    • (2000) Comput. Math. Appl. , vol.39 , pp. 1-7
    • Zhang, B.G.1    Zhou, Y.2
  • 33
    • 0030143888 scopus 로고    scopus 로고
    • Oscillation of certain second order nonlinear difference equations
    • Zhang B.G., Chen G.D. Oscillation of certain second order nonlinear difference equations. J. Math. Anal. Appl. 199:1996;841-872.
    • (1996) J. Math. Anal. Appl. , vol.199 , pp. 841-872
    • Zhang, B.G.1    Chen, G.D.2
  • 34
    • 0035285354 scopus 로고    scopus 로고
    • Oscillation of second order nonlinear difference equation with continuous variable
    • Zhang Z., Bi P. Oscillation of second order nonlinear difference equation with continuous variable. J. Math. Anal. Appl. 255:2001;349-357.
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 349-357
    • Zhang, Z.1    Bi, P.2
  • 35
    • 0038283838 scopus 로고    scopus 로고
    • A necessary and sufficient oscillation condition for the discrete Euler equation
    • Zhang G., Cheng S.S. A necessary and sufficient oscillation condition for the discrete Euler equation. PanAmer. Math. J. 9:1999;29-34.
    • (1999) PanAmer. Math. J. , vol.9 , pp. 29-34
    • Zhang, G.1    Cheng, S.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.