Oscillation for second-order nonlinear neutral delay difference equations

Applied Mathematics and Computation

Volumn 163, Issue 2, 2005, Pages 909-918

  Sun, Y G ^a   Saker, S H ^b  

^a QUFU NORMAL UNIVERSITY   (China)

^b Mansoura University   (Egypt)

Author keywords

Oscillation; Riccati techniques; Second order neutral difference equations

Indexed keywords

DIFFERENCE EQUATIONS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; RICCATI EQUATIONS; THEOREM PROVING;

NONNEGATIVE INTEGERS; REAL NUMBERS; RICCATI TECHNIQUES; SECOND-ORDER NEUTRAL DIFFERENCE EQUATIONS;

OSCILLATIONS;

EID: 13544250495     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.017     Document Type: Article

References (18)

1. Agarwal R.P. Difference Equations and Inequalities, Theory, Methods and Applications. second ed.:2000;Marcel Dekker, New York. revised and expanded
2. Agarwal R.P., Wong P.J.Y. Advanced Topics in Difference Equations. 1997;Kluwer Academic Publishers
3. Agarwal R.P., Manuel M.M.S., Thandapani E. Oscillatory and nonoscillatory behavior of second-order neutral delay difference equations. Math. Comput. Model. 24:1996;5-11
4. Agarwal R.P., Manuel M.M.S., Thandapani E. Oscillatory and nonoscillatory behavior of second-order neutral delay difference equations II. Appl. Math. Lett. 10:1997;103-109
5. Hardy G.H., Littlewood J.E., Polya G. Inequalities. second ed.:1952;Cambridge University Press, Cambridge
6. Jianchu J. Oscillatory criteria for second-order quasilinear neutral delay difference equations. Appl. Math. Comput. 125:2002;287-293
7. Jiang J. Oscillation of second order nonlinear neutral delay difference equations. Appl. Math. Comput. 146:2003;791-801
8. Lalli B.S., Zhang B.G. On existence of positive and bounded oscillations for neutral difference equations. J. Math. Anal. Appl. 166:1992;272-287
9. Lou J.W., Bainov D.D. Oscillatory and asymptotic behavior of second-order neutral difference equations with maximum. J. Comput. Appl. Math. 131:2001;331-341
10. Saker S.H. New oscillation criteria for second-order nonlinear neutral delay difference equations. Appl. Math. Comput. 142:2003;99-111
11. Saker S.H. Oscillation theorems of nonlinear difference equations of second order. Georgian Math. J. 10:2003;343-352
12. Saker S.H. Oscillation of second-order perturbed nonlinear difference equations. Appl. Math. Comput. 144:2003;305-324
13. S.H. Saker and S.S. Cheng, Kamenev type oscillation criteria for nonlinear difference equations, Czechoslovak Math. J., in press
14. Saker S.H., Cheng S.S. Oscillation criteria for difference equations with damping terms. Appl. Math. Comput. 148:2004;421-442
15. Saker S.H. Oscillation of second-order nonlinear delay difference equations. Bull. Korean Math. Soc. 40:2003;489-501
16. Szafranski Z., Szmanda B. Oscillation theorems for some nonlinear difference equations. Appl. Math. Comput. 83:1997;43-52
17. Szafranski Z., Szmanda B. Oscillation of some difference equations. Fasc. Math. 28:1998;149-155
18. Zhang Z., Chen J., Zhang C. Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term. Comput. Math. Appl. 41:2001;1487-1494