Existence results for an impulsive neutral integro-differential equations in Banach spaces

Abstract

In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach. At last, an example is also provided to illustrate the obtained results.

Keywords

• fixed point theorem
• differential equations with impulses
• neutral equations
• semigroups of linear operators
• primary 47h10, 34a37
• secondary 34k40, 47d03