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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2017, Volume 14, Pages 199–209
DOI: https://doi.org/10.17377/semi.2017.14.020 (Mi semr779) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differentical equations, dynamical systems and optimal control

On methods to solve an inverse problems for a nonlinear differential equation

E. V. Tabarintseva

South Urfal State University, pr. Lenina, 76, 454080, Chelyabinsk, Russia
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DOI: https://doi.org/10.17377/semi.2017.14.020
Abstract: We study a reverse time problem for a nonlinear differential equation. The exact solution is given to be a piecewise smooth function. We suggest an approach for constructing a stable approximate solution to the inverse problem taking into account the a priori information about the exact solution. We obtain sharp error estimates for the approximate solutions.
Keywords: operator equation, reverse time problem, regularization, error estimate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
Received June 17, 2016, published March 14, 2017
Document Type: Article
UDC: 517.9
MSC: 35R25, 47J06
Language: Russian
Citation: E. V. Tabarintseva, “On methods to solve an inverse problems for a nonlinear differential equation”, Sib. Èlektron. Mat. Izv., 14 (2017), 199–209
Citation in format AMSBIB
\Bibitem{Tab17}
\by E.~V.~Tabarintseva
\paper On methods to solve an inverse problems for a nonlinear differential equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 199--209
\mathnet{http://mi.mathnet.ru/semr779}
\crossref{https://doi.org/10.17377/semi.2017.14.020}
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