Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay

Axioms

Yoshihiro Hamaya¹  Tomomi Itokazu¹  Kaori Saito² 

[1] Department of Information Science, Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japan; E-Mail:;Department of Industrial Information, Iwate Prefectural University, Miyako College, 1-5-1 Kanan, Miyako, Iwate 027-0039, Japan; E-Mail:

关键词: almost periodic solutions;    Volterra difference equations;    (K;    ρ)-relatively weakly uniformly-asymptotically stable;    ρ-separation conditions;   

DOI  :  10.3390/axioms4030345

来源: mdpi

【 摘 要 】

In order to obtain the conditions for the existence of periodic and almost periodic solutions of Volterra difference equations, , we consider certain stability properties, which are referred to as (K, ρ)-weakly uniformly-asymptotic stability and (K, ρ)-uniformly asymptotic stability. Moreover, we discuss the relationship between the ρ-separation condition and the uniformly-asymptotic stability property in the ρ sense.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.