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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 3, Pages 111–125
DOI: https://doi.org/10.33048/SIBJIM.2024.27.308 (Mi sjim1293) 		 
On the connections between hyperbolic and parabolic inverse one-dimensional discrete problems

A. S. Mikhaylovab, V. S. Mikhaylova

a St.Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences, St.Petersburg, 191023 Russia
b St. Petersburg State University, St. Petersburg, 199034 Russia
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DOI: https://doi.org/10.33048/SIBJIM.2024.27.308
Abstract: The boundary control method is applied to the solution of one-dimensional discrete inverse problems. The discrete counterparts of the operators used in the method (the control, response, and connecting operators) are defined. The relations between the operators corresponding to the discrete wave equation and the discrete heat equation are established.
Keywords: boundary control method, connection between data of inverse problems, discrete dynamical system.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was financed by the budgets of the St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences and the St. Petersburg State University. No additional grants to carry out or direct this particular research were obtained.
Received: 03.03.2024
Revised: 29.05.2024
Accepted: 29.05.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 3, Pages 503–515
DOI: https://doi.org/10.1134/S1990478924030116
Document Type: Article
UDC: 517.951
Language: Russian
Citation: A. S. Mikhaylov, V. S. Mikhaylov, “On the connections between hyperbolic and parabolic inverse one-dimensional discrete problems”, Sib. Zh. Ind. Mat., 27:3 (2024), 111–125; J. Appl. Industr. Math., 18:3 (2024), 503–515
Citation in format AMSBIB
\Bibitem{MikMik24}
\by A.~S.~Mikhaylov, V.~S.~Mikhaylov
\paper On the connections between hyperbolic and parabolic inverse one-dimensional discrete problems
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 3
\pages 111--125
\mathnet{http://mi.mathnet.ru/sjim1293}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 3
\pages 503--515
\crossref{https://doi.org/10.1134/S1990478924030116}
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