Existence of almost periodic solutions for neutral delay difference systems

Qiuxiang Feng , Rong Yuan

Front. Math. China ›› 2009, Vol. 4 ›› Issue (3) : 437 -462.

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Front. Math. China ›› 2009, Vol. 4 ›› Issue (3) : 437 -462. DOI: 10.1007/s11464-009-0028-2
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RESEARCH ARTICLE

Existence of almost periodic solutions for neutral delay difference systems

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Abstract

In this paper, the existence of almost periodic solutions is studied via the Lyapunov function. Razumikhin type theorems are established on the existence, uniqueness and uniformly asymptotic stability of almost periodic solutions. Two examples are given to explain our results.

Keywords

Neutral delay difference system / almost periodic solution / Razumikhin technique / asymptotic stability

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Qiuxiang Feng, Rong Yuan. Existence of almost periodic solutions for neutral delay difference systems. Front. Math. China, 2009, 4(3): 437-462 DOI:10.1007/s11464-009-0028-2

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