On the oscillation of partial difference equations generated by deviating arguments

Acta Mathematica Hungarica

Volumn 79, Issue 1-2, 1998, Pages 1-29

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

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032040533     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1006576819514     Document Type: Article

References (34)

1. R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker (New York, 1992).
2. R. P. Agarwal, Difference equations and inequalities: A survey, in Proceedings of the First World Congress on Nonlinear Analysis, 1992, ed. V. Lakshmikantham, Walter de Gruyter and Co., pp. 1091-1108.
3. R. P. Agarwal, M. Maria Susai Manuel and E. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Mathl. Comput. Modelling, 24 (1996), 5-11.
4. R. P. Agarwal, S. Pandian and E. Thandapani, Oscillatory property for second order nonlinear difference equations via Lyapunov second method, Advances in Nonlinear Dynamics, to appear.
5. R. P. Agarwal, E. Thandapani and P. J. Y. Wong, Oscillations of higher order neutral difference equations, Applied Mathematics Letters, 10 (1997), 71-78.
6. S. S. Cheng and W. T. Patula, An existence theorem for a nonlinear difference equation, Nonlinear Analysis, 20 (1993), 193-203.
7. S. S. Cheng and B. G. Zhang, Qualitative theory of partial difference equations (I): Oscillation of nonlinear partial difference equations, Tamkang J. Math., 25 (1994), 279-288.
8. S. S. Cheng, S. L. Xie and B. G. Zhang, Qualitative theory of partial difference equations (II): Oscillation criteria for direct control systems in several variables, Tamkang J. Math., 26 (1995), 65-79.
9. S. S. Cheng, S. L. Xie and B. G. Zhang, Qualitative theory of partial difference equations (III): Forced oscillations of parabolic type partial difference equations, Tamkang J. Math., 26 (1995), 177-192.
10. S. S. Cheng, S. L. Xie and B. G. Zhang, Qualitative theory of partial difference equations (IV): Forced oscillations of hyperbolic type nonlinear partial difference equations, Tamkang J. Math., 26 (1995), 337-360.
11. S. S. Cheng, S. L. Xie and B. G. Zhang, Qualitative theory of partial difference equations (V): Sturmian theorems for a class of partial difference equations, Tamkang J. Math., 27 (1996), 89-97.
12. S.-C. Fu and L.-Y. Tsai, Oscillation in nonlinear difference equations, in Advances in Difference Equations II, Computers Math. Appl., to appear.
13. I. Gyori and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press (Oxford, 1991).
14. W. G. Kelley and A. C. Peterson, Difference Equations: An Introduction with Applications, Academic Press (New York, 1991).
15. V. L. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer (Dordrecht, 1993).
16. V. Lakshmikantham and D. Trigiante, Difference Equations with Applications to Numerical Analysis, Academic Press (New York, 1988).
17. J. J. Li and C. C. Yeh, Existence of positive nondecreasing solutions of nonlinear difference equations, Nonlinear Analysis, 22 (1994), 1271-1284.
18. X. P. Li, Partial difference equations used in the study of molecular orbits, Acta Chimica Sinica, 40 (1982), 688-698.
19. J. Popenda, The oscillation of solutions of difference equations, Comptures Math. Appl., 28 (1994), 271-279.
20. A. N. Sharkovsky, Y. L. Maistrenko and E. Y. Romanenko, Difference Equations and Their Applications, Kluwer (Dordrecht, 1993).
21. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations, Wadsworth and Brooks (California, 1989).
22. E. Thandapani, Oscillation theorems for perturbed nonlinear second order difference equations, Computers Math. Appl., 28 (1994), 309-316.
23. 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 (1995), 63-84.
24. P. J. Y. Wong and R. P. Agarwal, Oscillation theorems for certain second order nonlinear difference equations, J. Math. Anal. Appl., 204 (1996), 813-829.
25. P. J. Y. Wong and R. P. Agarwal, Oscillation and monotone solutions of second order quasilinear difference equations, Funkcialaj Ekvacioj, 39 (1996), 491-517.
26. P. J. Y. Wong and R. P. Agarwal, On the oscillation of an mth order perturbed nonlinear difference equation, Archivum Mathematicum, 32 (1996), 13-27.
27. P. J. Y. Wong and R. P. Agarwal, Oscillation and nonoscillation of half-linear difference equations generated by deviating arguments, in Advances in Difference Equations II, Computers Math. Appl., to appear.
28. P. J. Y. Wong and R. P. Agarwal, Summation averages and the oscillation of second order nonlinear difference equations, Mathl. Comput. Modelling, 24 (1996), 21-35.
29. P. J. Y. Wong and R. P. Agarwal, Comparison theorems for the oscillation of higher order difference equations with deviating arguments, Mathl. Comput. Modelling, 24 (1996), 39-48.
30. P. J. Y. Wong and R. P. Agarwal, Oscillation criteria for nonlinear partial difference equations with delays, Computers Math. Appl., 32 (1996), 57-86.
31. P. J. Y. Wong and R. P. Agarwal, Nonexistence of unbounded nonoscillatory solutions of partial difference equations, J. Math. Anal. Appl., to appear.
32. B. G. Zhang and S. T. Liu, Oscillation of partial difference equations, PanAmerican Math. J., 5 (1995), 61-70.
33. B. G. Zhang and S. T. Liu, Oscillation of partial difference equations with variable coefficients, in Advances in Difference Equations II, Computers Math. Appl., to appear.
34. B. G. Zhang, S. T. Liu and S. S. Cheng, Oscillation of a class of delay partial difference equations, J. Difference Eqns. Applic., 1 (1995), 215-226.