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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 2, Pages 180–183
DOI: https://doi.org/10.18500/1816-9791-2016-16-2-180-183
(Mi isu635)
 

Mathematics

The solution of a certain inverse problem

A. A. Khromov

Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
References:
Abstract: The solution is given for the problem of findinging uniform approximations of a the right-hand side of a general linear ordinary differential equation in the case when approximations of the exact solution are known. The constructed method has a simple structure, produces approximations of the right-hand side on the whole interval of definition and does not employ boundary conditions.
Key words: ordinary differential equation, regularization, Steklov discontinuous operator.
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: A. A. Khromov, “The solution of a certain inverse problem”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 180–183
Citation in format AMSBIB
\Bibitem{Khr16}
\by A.~A.~Khromov
\paper The solution of a certain inverse problem
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 2
\pages 180--183
\mathnet{http://mi.mathnet.ru/isu635}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-2-180-183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3522912}
\elib{https://elibrary.ru/item.asp?id=26254381}
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