Existence and local attractivity of solutions of a nonlinear quadratic functional integral equation

Document Type: Regular Paper


Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran


In this paper, using the tools involving measures of noncompactness and Darbo fixed point theorem for
condensing operator, we study the existence of solutions for a large class of generalized nonlinear quadratic
functional integral equations. Also, we show that solutions of these integral equations are locally attractive.
Furthermore, we present an example to show the efficiency and usefulness of our results.