On solution of nonlinear singular integral equations with shift in generalized Hölder space

DOI10.1016/S0960-0779(00)00066-7zbMath1017.45002MaRDI QIDQ1862334

Yanyan Li

Publication date: 19 March 2003

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

convergenceHölder spaceNewton-Kantorovich methodCarleman shiftnonlinear singular integral equations

Mathematics Subject Classification ID

Theoretical approximation of solutions to integral equations (45L05) Singular nonlinear integral equations (45G05)

Related Items (7)

On Approximate Solutions of Linear and Nonlinear Singular Integral Equations ⋮ 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 ⋮ On a class of nonlinear singular integral equations with shift on a closed contour ⋮ The Kantorovich theorem and interior point methods ⋮ The method of Kantorovich majorants to nonlinear singular integral equation with shift

Cites Work

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• 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
• Convergence of the Newton-Kantorovich method under Vertgeim conditions: A new improvement
• Approximate methods for singular integral equations with a non-Carleman shift
• On the theory of nonlinear singular integral equations of Cauchy type
• Singular integral equations with carleman linear fractional shift

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