Existence of solutions for quadratic integral inclusions

Abstract

In this paper we study the existence of continuous solutions of a
quadratic integral inclusion: we will look for solutions of that equation
in a Banach space.
The theory of quadratic integral inclusions has many useful ap-
plications in mathematical physics, economics, biology, as well as in
describing real world problems. The main tool used in our investiga-
tions is a xed point result for the multivalued solution's map with
acyclic values.