Approximate solvability method for nonlocal impulsive evolution equation

Abstract

In this article, without assuming the compactness of semigroup, we deal with the existence and uniqueness of a mild solution for semilinear impulsive evolution equation with nonlocal condition in a reflexive Banach space by applying the approximate solvability method and Yosida approximations of the infinitesimal generator of C0-semigroup.

Keywords

• impulsive evolution equation
• c0-semigroup
• yosida approximations
• approximate solvability method
• hausdorff measure of noncompactness
• 34g20
• 34k45
• 47d03