Existence results for impulsive neutral functional integrodifferential equation with infinite delay

Abstract

In this paper, we study the existence of mild solutions for a impulsive semilinear neutral functional integrodifferential equations with infinite delay in Banach spaces. The results are obtained by using the Hausdorff measure of noncompactness. Examples are provided to illustrate the theory.

Existence of Solutions for Impulsive Partial Neutral Functional Evolution Integrodifferential Inclusions With Infinite Delay

“…However, all these studies are in connection with the ordinary differential systems. Several authors have studied the existence and controllability results for impulsive neutral functional differential and integrodifferential equations with infinite delay [2,12,20,25]. In this paper, we will give the existence of mild solutions for impulsive partial neutral functional integrodifferential inclusions with infinite delay.…”

A Study of Second Order Impulsive Neutral Evolution Differential Control Systems with an Infinite Delay

“…The theory of impulsive systems provides a common frame work for mathematical modeling of many real world phenomena. Moreover, these impulsive phenomena can also be found in fields such as information science, electronics, fed-batch culture in fermentative production, robotics and telecommunications (see [1,16,5,14,12,17] and references therein).…”

“…Due to its importance several authors have investigated the controllability of impulsive systems (see [2,6]). …”

Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces

“…The notion of a measure of weak compactness was introduced by De Blasi [10] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations. Several authors have studied the measures of noncompactness in Banach spaces [4,5,14,1,13,15,22].…”