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A solution of a nonlinear integral equation
Journal article   Peer reviewed

A solution of a nonlinear integral equation

M.A. Abdou, W.G. El-Sayed and E.I. Deebs
Applied mathematics and computation, Vol.160(1), pp.1-14
05/01/2005
DOI: https://doi.org/10.1016/S0096-3003(03)00613-1

Abstract

Caratheodory condition Cauchy sequences Contraction mapping Nonlinear integral equation Relatively compact
In this work, we will prove the existence of integrable solution of nonlinear integral equation, of type Hammerstein–Volterra of the second kind, by using the technique of measure of weak noncompactness and Schauder fixed point theorem. Also, the solution of the integral equation is obtained and studied.

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