Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem

الملخص EN

We study the existence of solutions of a nonlinear Volterra integral equation in the space L1[0,+∞).

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.