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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 12, Pages 2156–2166 (Mi zvmmf4796)  
Approximation of smooth solutions to integral equations with degenerate kernels

A. A. Khromov

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia
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Abstract: A method is proposed for finding approximate smooth solutions to an integral equation of the second kind with a degenerate kernel. It is assumed that the inverse operator is unbounded.
Key words: proximation of continuous functions and their derivatives, operator equation of the first kind, choice of regularization parameter, regularizing family.
Received: 15.06.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 12, Pages 2059–2069
DOI: https://doi.org/10.1134/S0965542509120069
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: A. A. Khromov, “Approximation of smooth solutions to integral equations with degenerate kernels”, Zh. Vychisl. Mat. Mat. Fiz., 49:12 (2009), 2156–2166; Comput. Math. Math. Phys., 49:12 (2009), 2059–2069
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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