Weak solutions of first-order differential inclusions in Banach space

Abstract

The aim of this paper is to investigate the existence of pseudo-solutions for a First- order

multivalued differential equation with nonlocal integral boundary condition in a Banach space.

Our approach is based on the use of the technique of measures of weak noncompactness and a fixed

point theorem of Mönch type.

Keywords

• Pseudo-solutions,differential inclusions,integral boundary condition,measure of weak noncompactness,pettis integral

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