Positive almost periodicity on SICNNs incorporating mixed delays and D operator

Existence and Global Exponential Stability of Almost Periodic Solutions for SICNNs with Nonlinear Behaved Functions and Mixed Delays

and Applied Analysis 3 Definition 2.1. The continuous function xij t : R → R is called almost periodic on R, if for any ε > 0, it is possible to find a real number l l ε > 0 such that, for any interval with length l, there exists a number τ τ ε in this interval such that |xij t τ −xij t | < ε, for any t ∈ R. Definition 2.2 see 22, page 21 . Let E be a Banach space, D an open subset in E and f t...

Periodicity and Almost-periodicity

Existence and Stability of Almost Periodic Solutions for Sicnns with Neutral Type Delays

This article concerns the shunting inhibitory cellular neural networks with neutral type delays. Under a weaker condition than the usual Lipschitz condition, we establish the existence and stability of almost periodic solutions for SICNNs with neutral type delays. An example is given to illustrate our main results.

Global Exponential Stability of Almost Periodic Solutions for SICNNs with Continuously Distributed Leakage Delays

and Applied Analysis 3

Almost periodicity and discrete almost periodicity in semiflows

A theory of semiflows with a discrete acting topological semigroup was developed in the 2000 paper by D. Ellis, R. Ellis and M. Nerurkar ([2]). A theory for the case of an arbitrary acting topological semigroup has still to be developed. This paper can be considered as the beginning of an attempt in that direction. We discuss almost periodicity and G-almost periodicity of points in a semiflow a...