Newton-Kantorovich approximations to nonlinear singular integral equation with shift

DOI10.1016/j.amc.2011.03.158zbMath1221.65329OpenAlexW2061081980MaRDI QIDQ547931

Samah M. Dardery

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.158

zbMATH Keywords

convergencenonlinear singular integral equationgeneralized Hölder spaceCarleman shiftNewton-Kantorovich approximationsUryson type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Singular nonlinear integral equations (45G05)

Related Items (1)

General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution

Cites Work

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• On a class of nonlinear singular integral equations with shift on a closed contour
• On a class of nonlinear singular integral equations with shift on complex curves
• On the \(C^*\)-algebra of singular integral operators with Carleman shift on a non-closed arc
• On solution of nonlinear singular integral equations with shift in generalized Hölder space
• On the solution of a certain class of nonlinear singular integro-differential equations with Carleman shift
• On the approximate solution of nonlinear singular integral equations with positive index
• Approximate methods for singular integral equations with a non-Carleman shift
• On the theory of nonlinear singular integral equations with shift in Hölder spaces
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Fredholm Theory for a Class of Singular Integral Operators with Carleman Shift and Unbounded Coefficients
• Singular integral equations with carleman linear fractional shift
• Non-linear singular integral approximations in banach spaces

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