On the piecewise pseudo almost periodic solution of nondensely impulsive integro-differential systems with infinite delay

2018/03/15 by Adnène Arbi, Arbi, Adnène, Farouk Chérif +1
Engineering · Mathematics · Medicine · #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.FA

paper · pdf · doi:10.48550/arxiv.1803.05742

openalex publication_date 2018/03/15 · arxiv created 2018/03/17 · arxiv updated 2018/03/20 · openalex created_date 2022/09/09 · openalex updated_date 2026/07/28

Abstract

In the theory of neutral differential equations with pulse influence (neutral impulsive differential equations), there are many unsolved problems related to certain results in the theory of integral and integro-differential equations. In this article, we present an result for the existence of the piecewise pseudo almost periodic solution of a class of neutral impulsive nonlinear integro-differential systems with infinite delay. The method used involves result on the theory of integrated semigroup as well as the Sadovskii's fixed point theorem.

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