Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations
نویسنده
چکیده
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, which is equivalent to the exponential behaviors of the resolvent matrix G(n, m) as n ® ∞ and of some summability of the kernel. AMS (MOS) 2000 Subject classifications: 39A11.
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