Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions

Abstract

We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are provided to illustrate the theory.

Keywords

• Semigroup
• mild solution
• impulsive conditions