Asymptotic and oscillatory behavior of solutions of general nonlinear difference equations of second order

Computers and Mathematics with Applications

Volumn 36, Issue 10-12, 1998, Pages 413-421

  Thandapani, E ^a   Pandian, S ^a  

^a UNIVERSITY OF MADRAS   (India)

Author keywords

Asymptotic behavior; Delay arguments; Difference equations; Oscillation

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DAMPING; NONLINEAR EQUATIONS; OSCILLATIONS;

DELAY ARGUMENTS; SOLUTIONS OSCILLATION;

DIFFERENCE EQUATIONS;

EID: 0032204272     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)80042-4     Document Type: Article

References (22)

1. R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, (1992).
2. R.P. Agarwal, M. Maria Susai Manuel and E. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Mathl. Comput. Modelling (to appear).
3. S.S. Cheng, T.C. Yan and H.J. Li, Oscillation criteria for second order difference equation, Funk. Ekva 34, 223-239 (1991).
4. L.H. Erbe and B.G. Zhang, Oscillation of discrete analogues of delay equations, Diff. and Int. Equ. 2, 300-309 (1989).
5. J.W. Hooker and W.T. Patula, A second order nonlinear difference equation: Oscillation and asymptotic behavior, J. Math. Anal. Appl. 91, 9-29 (1983).
6. M.R.S. Kulenovic and M. Budincevic, Asymptotic analysis of nonlinear second order difference equation, Anal. Sti. Uni., Iasi 30, 39-52 (1984).
7. G. Ladas, Ch.G. Philos and Y.G. Sficas, Necessary and sufficient conditions for the oscillation of difference equations, Liberta Math. 99, 121-125 (1989).
8. B.S. Lalli and B.G. Zhang, Oscillation of difference equations, Colloq. Math. 65, 25-32 (1993).
9. J. Popenda, Oscillation and nonoscillation theorems for second order difference equations, J. Math. Anal. Appl. 123, 34-38 (1987).
10. B. Szmanda, Oscillation criteria for nonlinear second order difference equations, Ann. Polon. Math. 43, 225-235 (1983).
11. B. Szmanda, Note on the behaviour of solutions of a second order nonlinear difference equation, Atti Acad. Nazlinsci. Rend-Sci. Fis. Mat. Nat. 69, 120-125 (1980).
12. E. Thandapani, Oscillatory behaviour of solution of second order nonlinear difference equation, J. Math. Phys. Sci. 25, 457-464 (1991).
13. E. Thandapani, Oscillatory criteria for certain second order difference equation, ZAA 11, 425-429 (1992).
14. E. Thandapani, Asymptotic and oscillatory behavior of solutions of nonlinear second order difference equations, Indian J. Pure Appl. Math. 24(b), 365-372 (1993).
15. E. Thandapani, Oscillation theorems for second order damped nonlinear difference equations, Czech. Math. J. 45, 327-335 (1995).
16. E. Thandapani, I. Györi and B.S. Lalli, An application of discrete inequality to second order nonlinear oscillation, J. Math. Anal. Appl. 186, 200-208 (1994).
17. E. Thandapani and S. Pandian, On the oscillatory behavior of solutions of second order nonlinear difference equations, ZAA 13, 347-358 (1994).
18. P.J.Y. Wong and R.P. Agarwal, Oscillation and nonoscillation of halflinear difference equations generated by deviating arguments, Advances in Difference Equations II, Computers Math. Applic. (to appear).
19. P.J.Y. Wong and R.P. Agarwal, Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations, Mathl. Comput. Modelling 21 (3), 63-84 (1995).
20. R.B. Potts, Exact solution of a difference approximation to Duffing equation, J. Austr. Math. Soc. B 23, 64-79 (1981).
21. S.R. Grace and B.S. Lalli, Oscillatory behaviour of nonlinear second order differential equations with deviating arguments, Bull. Inst. Math. Acad. Sinica 14, 187-196 (1986).
22. I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Oxford Science Publications, Oxford Clareden Press, (1991).