Almost periodic solutions of Volterra difference systems
نویسندگان
چکیده
منابع مشابه
On the Existence of Almost Periodic Solutions of a Nonlinear Volterra Difference Equation
The existence of almost periodic solutions of a nonlinear Volterra difference equation with infinite delay is obtained by using some restrictive conditions of the equation. AMS subject classification: 39A10, 39A11.
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Correspondence: [email protected]. ac.jp Department of Information Science, Okayama University of Science, 1-1 Ridai-chyo, Kitaku, Okayama 700-0005, Japan Abstract The purpose of this article is to discuss the existence of pseudo almost periodic solutions of linear Volterra equation: x(n + 1) = A(n)x(n) + ∑n s=−∞ F(n, s)x(s) + p(n) , n Î Z, by using an exponentially stable of the zero solution, wh...
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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))+ ∑n s=−∞ F (n, s, x(n+ s), x(n)), 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-separati...
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I t is easy to see that for every point (y, N) in WXI there is a solution (n) of (1) that satisfies <1>(N) =y. This solution is defined and unique on some set N^nKN*» where N<» is maximal. (That is, either iV» = °o or ^ i V ^ — l) (£W.) The solution may or may not be continuable for nƒ> rc)> 0^w<iV o o(^ , / ) , be the soluti...
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2017
ISSN: 2391-4661
DOI: 10.1515/dema-2017-0030