The Newton-Kantorovich approximations for nonlinear singular integral equations with shift

DOI10.1216/JIEA/1181074915zbMath1056.47054OpenAlexW1964406833MaRDI QIDQ1425609

Filomena Cianciaruso

Publication date: 17 March 2004

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181074915

zbMATH Keywords

convergencesingular integral equationNewton-Kantorovich methodCarleman shiftgeneralized Hölder spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Singular nonlinear integral equations (45G05)

Cites Work

• Historical developments in convergence analysis for Newton's and Newton-like methods
• Linear functional equations. Operator approach. Transl. from the Russian by V. Muzafarov a. A. Iacob
• On the modified Newton's approximation method for the solution of nonlinear singular integral equations
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Singular integral equations with carleman linear fractional shift
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