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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 45–64 (Mi semr342)  
This article is cited in 6 scientific papers (total in 6 papers)

Differentical equations, dynamical systems and optimal control

On inverse problems for equations of mathematical physics with parameter

Yu. E. Anikonovab, M. V. Neshchadimab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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Abstract: We propose new approaches of investigation of inverse problems for equations of mathematical physics with parameter. We reduce the investigation of inverse problems for linear equations of hyperbolic and parabolic type to investigation of the Abel integral equations of the first kind. We obtain differential and integro-differential equations not containing unknown coefficients for nonlinear equations of elliptic type.
Keywords: inverse problems of mathematical physics, analytical methods of solution, problems with parameter, integral equations.
Received May 18, 2011, published January 24, 2012
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
Citation: Yu. E. Anikonov, M. V. Neshchadim, “On inverse problems for equations of mathematical physics with parameter”, Sib. Èlektron. Mat. Izv., 9 (2012), 45–64
Citation in format AMSBIB
\Bibitem{AniNes12}
\by Yu.~E.~Anikonov, M.~V.~Neshchadim
\paper On inverse problems for equations of mathematical physics with parameter
\jour Sib. \`Elektron. Mat. Izv.
\yr 2012
\vol 9
\pages 45--64
\mathnet{http://mi.mathnet.ru/semr342}
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    • This publication is cited in the following 6 articles:
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