Existence of piecewise continuous mild solutions for impulsive functional differential equations with iterated deviating arguments

Abstract

The objective of this article is to prove the existence of piecewise continuous mild solutions to impulsive functional differential equation with iterated deviating arguments in a Banach space. The results are obtained by using the theory of analytic semigroups and fixed point theorems.

Keywords

• Impulsive functional differential equation
• deviating argument
• analytic semigroup
• fixed point theorem