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

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  • Mahmoud Bousselsal
  • Sidi Hamidou Jah

Abstract

We study the existence of solutions of a nonlinear Volterra integral equation in the space . 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.

Suggested Citation

  • Mahmoud Bousselsal & Sidi Hamidou Jah, 2014. "Integrable Solutions of a Nonlinear Integral Equation via Noncompactness Measure and Krasnoselskii's Fixed Point Theorem," International Journal of Analysis, Hindawi, vol. 2014, pages 1-10, March.
    • Handle: RePEc:hin:ijanal:280709
    DOI: 10.1155/2014/280709
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