A solution of a nonlinear integral equation

DOI10.1016/S0096-3003(03)00613-1zbMath1068.45005OpenAlexW2072218557MaRDI QIDQ1765389

Mohamed A. Abdou, E. I. Deebs, Wagdy Gomaa El-Sayed

Publication date: 23 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00613-1

zbMATH Keywords

Cauchy sequencesSchauder fixed point theoremcontraction mappingCarathéodory conditionrelatively compactDe Blasi measure of weak non-compactnessnonlinear Hammerstein-Volterra integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• A solution of a nonlinear integral equation
• Fredholm-Volterra integral equation of the first kind and contact problem
• On a method for solving an integral equation in the displacement contact problem.
• Computational Methods for Integral Equations
• Integral equation of mixed type and integrals of orthogonal polynomials
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