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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 45–64
(Mi semr342)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/semr342 https://www.mathnet.ru/eng/semr/v9/p45
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Abstract page: | 509 | Full-text PDF : | 167 | References: | 63 |
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