On a class of nonlinear singular integral equations with shift on a closed contour

DOI10.1016/j.amc.2003.08.138zbMath1063.45002OpenAlexW1994816302MaRDI QIDQ702629

D. Kharzeev

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.138

zbMATH Keywords

approximate solutionsCarleman shiftBanach-Cacciopoli theoremnonlinear Cauchy singular integral equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05) Integral equations with kernels of Cauchy type (45E05)

Related Items (5)

Fixed point theory and approximate solutions of non-linear singular integral equations ⋮ A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics ⋮ Newton-Kantorovich approximations to nonlinear singular integral equation with shift ⋮ General 2 \({\times}\) 2 system of nonlinear integral equations and its approximate solution ⋮ The method of Kantorovich majorants to nonlinear singular integral equation with shift

Cites Work

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• 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 modified Newton's approximation method for the solution of nonlinear singular integral equations
• Singular integral equations with carleman linear fractional shift
• Non-linear singular integral approximations in banach spaces

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