New criteria for the oscillation and existence of monotone solutions of second-order nonlinear difference equations

Applied Mathematics and Computation

Volumn 114, Issue 1, 2000, Pages 103-114

  Peng, Mingshu ^a   Ge, Weigao ^a   Xu, Qianli ^b  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b Yiyang Teacher's College   (China)

Author keywords

Difference equation; Monotone solution; Oscillation

Indexed keywords

EID: 0038786057     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00091-0     Document Type: Article

References (18)

1. Wong P.J.Y., Agarwal R.P. Oscillation theorems and existence of positive monotone solutions for second order nonlinear difference equations. Math. Comput. Modelling. 3:1995;63-84.
2. Hooker W., Patula W.T. A second order nonlinear difference equation: Oscillation and asymptotic behavior. J. Math. Anal. Appl. 91:1983;9-19.
3. Kwong M.K., Hooker J.M., Patula W.T. A type of transformations for second order difference equations. J. Math. Anal. Appl. 107:1985;182-196.
4. Erbe L.H., Zhang B.G. Oscillation of second order linear difference equations. Chinese J. Math. 16:1988;239-252.
5. Cheng S., Yan T.C., Li H.J. Oscillation criteria for second order difference equation. Funkcial Ekvac. 34:1991;223-239.
6. Lalli B.S. Oscillation theorems for neutral equations. Comput. Math. Appl. 28:1994;191-204.
7. Pootts R.B. Exact solution of a difference approximation to Suffering's equation. J. Austral. Math. Soc. Ser. B. 23:1981;64-77.
8. Szmanda B. Oscillation theorems for nonlinear second order difference equations. J. Math. Anal. Appl. 79:1981;90-95.
9. Szmanda B. Oscillation criteria for second order nonlinear difference equations. Ann. Polon. Math. 43:1983;225-235.
10. Zhiceng Wang, Jianshe Yu, Oscillation criteria for second order nonlinear difference equations. Funkcial Ekvac. 34, 1991, pp. 313-319.
11. I. Györi, G. Ladas, Oscillation Theory of Delay Differential Equations with Application, Oxford University Press, Oxford, 1991.
12. Zhang B.G. Oscillation and asymptotic behavior of second order difference equations. J. Math. Anal. Appl. 173:1993;58-68.
13. Zhang B.G., Chen G.D. Oscillation of certain second order nonlinear difference equations. J. Math. Anal. Appl. 199:1996;827-846.
14. Thandapani E. Oscillation of solutions of second order nonlinear difference equations. J. Math. Phys. Sci. 25:1991;457-464.
15. Thandapani E., Gyori I., Lalli B.S. An application of discrete inequality to second order nonlinear oscillation. J. Math. Anal. Appl. 186:1994;200-208.
16. Cheng S. Hille-Winter type comparison theorems for nonlinear difference equations. Funkcial Ekvac. 37:1994;531-535.
17. R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 1992.
18. R.E. Moore, Computational Functional Analysis, 1985.