Dynamics on time scales of wave solutions for nonlinear neural networks

Abstract

A time scale is an arbitrary non-empty closed subset of denoted by . In this work, the traveling wave solutions on time scales for a class of nonlinear delayed dynamical neural networks are investigated. The outcomes of this study are new and have been obtained by inequality technique, Ikehara's theorem, the weighted energy method, Taylor formula, comparison principle and the first integral mean value theorem. This is the first work focused for the wave solution in time space scales for a dynamical delayed neural networks model.