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.
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