Oscillation of two-dimensional difference systems

Computers and Mathematics with Applications

Volumn 38, Issue 7, 1999, Pages 157-165

  Graef, J R ^a   Thandapani, E ^b  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

^b PERIYAR UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; OSCILLATIONS; SET THEORY; TOPOLOGY; TWO DIMENSIONAL;

TWO DIMENSIONAL DIFFERENCE SYSTEMS;

DIFFERENCE EQUATIONS;

EID: 0033204081     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00246-1     Document Type: Article

References (12)

1. V. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Publisher, Dordrecht, (1993).
2. R. Potts, Exact solution of a difference approximation to Duffing's equation, J. Austral. Math. Soc. (Series B) 23, 64-77, (1981).
3. 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).
4. B.G. Zhang and G.D. Chen, Oscillation of second-order nonlinear difference equations, J. Math. Anal. Appl. 199, 827-841, (1996).
5. E. Thandapani and R. Arul, Oscillation and nonoscillation theorems for a class of second-order quasilinear difference equations, Z. Anal. Anwendungen 16, 1-11, (1997).
6. E. Thandapani, J.R. Graef and P.W. Spikes, On the oscillation of solutions of second-order quasilinear difference equations, Nonlinear World 3, 545-565, (1996).
7. E. Thandapani, M.M.S. Manuel and R.P. Agarwal, Oscillation and nonoscillation theorems for second-order quasilinear difference equations, Facta Univ. Ser. Math. Inform. 11, 49-65, (1996).
8. 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).
9. Z. Szafranski and B. Szmanda, Oscillatory properties of solutions of some difference systems, Rad. Mat. 6, 205-214, (1990).
10. R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, (1992).
11. R.P. Agarwal and P.J.Y. Wong, Advanced Topics in Difference Equations, Kluwer Publisher, Dordrecht, (1997).
12. P. Waltman, An oscillation criterion for a nonlinear second-order equation, J. Math. Anal. Appl. 10, 439-441, (1965).