Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay

被引：0

作者：

Hamaya, Yoshihiro ^{[1
]}

Itokazu, Tomomi ^{[1
]}

Saito, Kaori ^{[2
]}

机构：

[1] Okayama Univ Sci, Dept Informat Sci, 1-1 Ridai Cho, Okayama 7000005, Japan

[2] Iwate Prefectural Univ, Miyako Coll, Dept Ind Informat, Miyako, Iwate 0270039, Japan

来源：

AXIOMS | 2015年 / 4卷 / 03期

关键词：

almost periodic solutions; Volterra difference equations; (K; rho)-relatively weakly uniformly-asymptotically stable; rho-separation conditions;

D O I：

10.3390/axioms4030345

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, x(n + 1) = f(n; x ( n))+ Sigma(n)(s=-infinity) F(n, s, x(n + s); x(n)), we consider certain stability properties, which are referred to as (K, rho)-weakly uniformly-asymptotic stability and (K, rho)-uniformly asymptotic stability. Moreover, we discuss the relationship between the rho-separation condition and the uniformly-asymptotic stability property in the rho sense.

引用

页码：345 / 364

页数：20

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