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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 74–78 (Mi timm642)  
Solution of a first-kind convolution integral equation with a special kernel and a right-hand side

N. V. Baidakova, Yu. N. Subbotin, N. I. Chernykh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: For a first-kind convolution integral equation with kernel $b/(b^2+x^2)$, an algorithm is developed for finding an approximate solution under the a priori information that the right-hand side belongs to a special class of functions.
Keywords: first-kind integral equation, convolution, Fourier transform.
Received: 08.04.2010
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Document Type: Article
Language: Russian
Citation: N. V. Baidakova, Yu. N. Subbotin, N. I. Chernykh, “Solution of a first-kind convolution integral equation with a special kernel and a right-hand side”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 74–78
Citation in format AMSBIB
\Bibitem{BaiSubChe10}
\by N.~V.~Baidakova, Yu.~N.~Subbotin, N.~I.~Chernykh
\paper Solution of a~first-kind convolution integral equation with a~special kernel and a~right-hand side
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 4
\pages 74--78
\mathnet{http://mi.mathnet.ru/timm642}
\elib{https://elibrary.ru/item.asp?id=15318489}
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  • https://www.mathnet.ru/eng/timm/v16/i4/p74
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