On existence of unique solution to nonlinear integral equations of the second kind

DOI10.1016/J.AMC.2004.04.011zbMath1069.45004OpenAlexW1983828757MaRDI QIDQ1774887

A. Abd El-Shafy, Mamdouh El-kady

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.011

zbMATH Keywords

convergencedegenerate kernel methodlinear polynomial operator methodnon-linear integral equations of the second kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Cites Work

• On approximate solution of Hammerstein integral equations in the space \(L_p\) \((p\leqslant 1)\)
• A Chebyshev approximation for solving optimal control problems
• Degenerate Kernel Method for Hammerstein Equations
• Asymptotic properties of positive methods for the summation of double Fourier series

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