New oscillation criteria for second-order nonlinear neutral delay difference equations

Applied Mathematics and Computation

Volumn 142, Issue 1, 2003, Pages 99-111

  Saker, S H ^a  

^a Mansoura University   (Egypt)

Author keywords

Oscillation; Second order neutral delay difference equations

Indexed keywords

MATHEMATICAL OPERATORS; OSCILLATIONS; THEOREM PROVING;

SECOND-ORDER NONLINEAR NEUTRAL DELAY DIFFERENCE EQUATIONS;

NONLINEAR EQUATIONS;

EID: 0037880673     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00286-2     Document Type: Article

References (11)

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 Univ. Press.
6. Jianchu J. Oscillatory criteria for second-order quasilinear neutral delay difference equations. Appl. Math. Comp. 125:2002;287-293.
7. Lalli B.S., Zhang B.G. On existence of positive solutions and bounded oscillations for neutral difference equations. J. Math. Anal. Appl. 166:1992;272-287.
8. Lou J.W., Bainov D.D. Oscillatory and asymptotic behavior of second-order neutral difference equations with maxima. J. Comp. Appl. Math. 131:2001;333-341.
9. Szafranski Z., Szmanda B. Oscillation of some difference equations. Fasc. Math. 28:1998;149-155.
10. Szafranski Z., Szmanda B. Oscillation theorems for some nonlinear difference equations. Appl. Math. Comp. 83:1997;43-52.
11. Zhang Z., Chen J., Zhang C. Oscillation of solutions for second-order nonlinear difference equations with nonlinear neutral term. Comp. Math. Appl. 41:2001;1487-1494.