La Stepanov presque périodicité extension et applications

Abstract

périodiques d’une classe d’équations différentielles abstraites linéaires et semi-linéaire `a coefficients constants et second membre Stepanov presque périodique. In this memoir, we have made a presentation of Stepanov almost periodic functions and Stepanov pseudo almost periodic functions. Results concerning the Nemytskii operator between the spaces of these functions are also presented in this memoir. We have also exposed a result of existence and uniqueness of pseudo almost periodic solutions for a neuron network system and results of existence and uniqueness of almost periodic mild solutions of a class of linear and semi-linear abstract differential equations with constant coefficients and second member Stepanov almost periodic