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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 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

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.

UDC: 519.624

Received: 15.06.2009


 English version:
Computational Mathematics and Mathematical Physics, 2009, 49:12, 2059–2069

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© Steklov Math. Inst. of RAS, 2024