Oscillation of parabolic neutral delay difference equations with several positive and negative coefficients

Applied Mathematics and Computation

Volumn 143, Issue 1, 2003, Pages 173-186

  Saker, S H ^a  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

Oscillation; Parabolic neutral delay difference equations

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY; THEOREM PROVING;

PARABOLIC NEUTRAL DELAY DIFFERENCE EQUATIONS;

DIFFERENCE EQUATIONS;

EID: 0038486007     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00366-1     Document Type: Article

References (17)

1. Agarwal R.P. Difference Equations and Inequalities, Theory, Methods and Applications. second ed. 2000;Marcel Dekker, New York.
2. Agarwal R.P., Wong P.J.Y. Advanced Topics in Difference Equations. 1997;Kluwer Academic Publishers.
3. Agarwal R.P., Grace S.R., O'Regan D. Oscillation Theory for Difference and Functional Differential Equations. 2000;Kluwer, Dordrecht.
4. Ahlabrandt C.D., Peterson A.C. Discrete Hamiltonian Systems: Difference Equations, Continued Fractions and Reccati Equations. 1996;Kluwer, Dordrecht.
5. Chen M.-P., Yu J.S. Oscillation of delay difference equations with variable coefficients. Elaydi S.N.et al. Proceeding of the first international Conference on Difference Equations. 1994;105-114 Gorden and Breach, New York.
6. Cheng S.S. Invitation to partial difference equations. Communications in Difference Equations, Proceedings of the fourth International Conference on Difference Equations, Poznan, Poland, August 27-31, 1998. 1998;91-106 Gordon and Breach Science Publishers.
7. Courant R., Friedrichs K., Lewy H. On partial difference equations of mathematical physics. IBMJ. 11:1967;215-222.
8. Erbe L.H., Zhang B.G. Oscillation of discrete analoges of delay equations. Diff. Integ. Eqns. 2:1989;300-309.
9. Gyori I., Philos C.H., Sficas Y. Sharp condition for the oscillation of delay difference equations. J. Appl. Math. Simul. 2:1989;101-112.
10. Kelley W.G., Peterson A.C. Difference Equations; An Introduction with Applications. 1991;Academic Press, New York.
11. Li X.P. Partial difference equations used in the study of molecular orbits. Acta Chimica Sinica. 40:1982;688-694. (in Chinese).
12. S.H. Saker, Oscillation of parabolic delay differential equations with several positive and negative coefficients, J. Comp. Appl. Math., in press.
13. Shi B., Wang Z.C., Yu J.S. Oscillation of nonlinear partial difference equations with delays. Comp. Math. Appl. 32:1996;29-39.
14. Stavroulakis I.P. Oscillation of delay difference equations. Comp. Math. Appl. 29:1995;83-88.
15. Yu J.S., Zhang B.G., Qian X.Z. Oscillation of delay difference equations with oscillating coefficients. J. Math. Anal. Appl. 177:1993;432-444.
16. Zhang B.G. Oscillation of delay partial difference equations. Progress Nat. Sci. 11:2001;321-330.
17. Zhang G., Zhou Y. Comparison theorems and oscillation criteria for difference equations. J. Math. Anal. Appl. 247:2000;397-409.