Existence of solutions for a system of integral equations via measure of noncompactness

Asadollah Aghajani, Ali Shole Haghighi

Using the techniques of measures of noncompactness and Darbo fixed point theorem, we present some existence results for solutions of systems of nonlinear equations in Banach spaces. Also, as an application, we discuss the existence of solutions for a general system of nonlinear functional integral equations, which extends some previous results in the literature. An example is given to show the efficiency and usefulness of the results.