Integrable solutions of a nonlinear integral equation via noncompactness measure and Krasnoselskii's fixed point theorem (Q1637823)

Summary: We study the existence of solutions of a nonlinear Volterra integral equation in the space \(L^1[0, +\infty)\). With the help of Krasnoselskii's fixed point theorem and the theory of measure of weak noncompactness, we prove an existence result for a functional integral equation which includes several classes on nonlinear integral equations. Our results extend and generalize some previous works. An example is given to support our results.