Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference Equation

Yong Zhou

doi:10.4171/zaa/1182

JournalszaaVol. 22, No. 4pp. 959–975

Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference Equation

Yong Zhou
Shanghai University of Finance and Economics, China

Download PDF

Abstract

Consider the forced higher order nonlinear neutral delay difference equation

L_{m} (x (n) + c x (n - τ)) + F (n, x (σ (n))) = g (n) (n \geq n_{0}) .

We obtain a global result (with respect to $c$ ), which consists of some sufficient conditions for the existence of a non-oscillatory solution of the above equation. Our results improve and extend a number of existing results.

Cite this article

Yong Zhou, Non-Oscillatory Solutions of Higher Order Nonlinear Neutral Delay Difference Equation. Z. Anal. Anwend. 22 (2003), no. 4, pp. 959–975

DOI 10.4171/ZAA/1182