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Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 395–400
DOI: https://doi.org/10.4213/mzm9855 (Mi mzm9855) 		 
Approximate Solution for a Class of Two-Dimensional Nonlinear Singular Integral Equations by the Contraction Mapping Method

N. F. Gasymova

Baku State University
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DOI: https://doi.org/10.4213/mzm9855
Abstract: We obtain solutions for a class of two-dimensional nonlinear singular integral equations with Hilbert kernel using the contraction mapping method and find the rate of convergence of successive approximations to the exact solution.
Keywords: nonlinear singular integral equation, contraction mapping method, singular integral, Hilbert kernel, Banach space.
Received: 12.11.2010
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 356–361
DOI: https://doi.org/10.1134/S0001434612090076
Bibliographic databases:
Document Type: Article
UDC: 517.968.43
Language: Russian
Citation: N. F. Gasymova, “Approximate Solution for a Class of Two-Dimensional Nonlinear Singular Integral Equations by the Contraction Mapping Method”, Mat. Zametki, 92:3 (2012), 395–400; Math. Notes, 92:3 (2012), 356–361
Citation in format AMSBIB
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