Oscillatory and asymptotic behavior of solutions of nonlinear neutral-type difference equations

Author:

Graef John R.,Miciano Agnes,Spikes Paul W.,Sundaram P.,Thandapani E.

Abstract

AbstractThe authors consider the higher-order nonlinear neutral delay difference equationand obtain results on the asymptotic behavior of solutions when (pn) is allowed to oscillate about the bifurcation value –1. We also consider the case where the sequence {pn} has arbitrarily large zeros. Examples illustrating the results are included, and suggestions for further research are indicated.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference12 articles.

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4. [11] Thandapani E. , Sundaram P. and I. Györi, “Oscillations of second order nonlinear neutral delay difference equations”, (to appear).

5. [4] Lalli B. S. and Zhang B. G. , “Oscillation and comparison theorems for certain neutral difference equations”, J. Austral. Math. Soc., (to appear).

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