The majorant principle applied to Hammerstein integral equations

DOI10.1016/j.aml.2017.06.017zbMath1377.65168OpenAlexW2730145788MaRDI QIDQ1680779

Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 16 November 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.06.017

zbMATH Keywords

Newton's methodsemilocal convergenceHammerstein integral equationmajorant principledomain of existence of solutiondomain of uniqueness of solutionnon-separable kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items

Legendre spectral projection methods for Hammerstein integral equations with weakly singular kernel ⋮ Domains of global convergence for a type of nonlinear Fredholm-Nemytskii integral equations

Cites Work

• A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
• New approach for numerical solution of Hammerstein integral equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
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