An existence theorem for a general class of weakly singular integral equations in Banach spaces

Document Type : Research Paper

Authors

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

Abstract

The purpose of this paper is devoted to establish the existence of a solution for a general class of nonlinear integral equations with weakly-singular terms. Our technique is based on the P-theorem associated with the Hausdorff M.N.C.  Furthermore, we provide an example to demonstrate the practicality of the result obtained.

Keywords

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Articles in Press, Corrected Proof
Available Online from 21 April 2025
  • Receive Date: 16 July 2024
  • Accept Date: 19 January 2025