Existence of almost periodic solutions for neutral delay difference systems

doi:10.1007/s11464-009-0028-2

Front Math Chin

2009, Vol. 4

Issue (3) : 437-462 https://doi.org/10.1007/s11464-009-0028-2

RESEARCH ARTICLE

Existence of almost periodic solutions for neutral delay difference systems

Qiuxiang FENG¹, Rong YUAN²(

)

1. College of Statistics, Shanxi University of Finance and Economics, Taiyuan 030006, China; 2. School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing 100875, China

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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

Corresponding Author(s): YUAN Rong,Email:ryuan@bnu.edu.cn

Issue Date: 05 September 2009

Cite this article:

Qiuxiang FENG,Rong YUAN. Existence of almost periodic solutions for neutral delay difference systems[J]. Front Math Chin, 2009, 4(3): 437-462.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0028-2
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I3/437

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