Existence and stability of almost periodic solutions in almost periodic systems

Existence of Periodic and Almost Periodic Solutions of Abstract Retarded Functional Difference Equations in Phase Spaces

Almost Periodic and Periodic Solutions of Difference Equations

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...

Existence and Exponential Stability of Positive Almost Periodic Solutions for a Model of Hematopoiesis

By employing the contraction mapping principle and applying Gronwall-Bellman's inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solution for nonlinear impulsive delay model of hematopoiesis.

Existence and exponential stability of almost periodic solutions for CNNs with time-varying leakage delays

Stability properties and existence theorems of pseudo almost periodic solutions of linear Volterra difference equations

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...