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Mathematical notes of NEFU, 2022, Volume 29, Issue 3, Pages 32–41
DOI: https://doi.org/10.25587/SVFU.2022.63.27.003 (Mi svfu357) 		 
Mathematics

On solvability of the first boundary value problem for an odd order equation with changing time direction

I. E. Egorov, E. S. Efimova

North-Eastern Federal University named after M. K. Ammosov, Yakutsk
Full-text PDF (253 kB)
DOI: https://doi.org/10.25587/SVFU.2022.63.27.003
URL: https://mzsvfu.ru/index.php/mz/article/view/405
Abstract: We study the generalized and regular solvability of the first boundary value problem for an odd order equation with changing time direction. Using the nonstationary Galerkin method and the regularization method, the existence of a generalized solution and the unique regular solvability of the considered boundary value problem are proved. The error estimate for the nonstationary Galerkin method is also established.
Keywords: equation with changing time direction, first boundary value problem, non-stationary Galerkin method, approximate solutions, inequality, estimate.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSRG-2020-0006
Received: 26.07.2022
Accepted: 31.08.2022
Document Type: Article
UDC: 517.946
Language: Russian
Citation: I. E. Egorov, E. S. Efimova, “On solvability of the first boundary value problem for an odd order equation with changing time direction”, Mathematical notes of NEFU, 29:3 (2022), 32–41
Citation in format AMSBIB
\Bibitem{EgoEfi22}
\by I.~E.~Egorov, E.~S.~Efimova
\paper On solvability of the first boundary value problem for an odd order equation with changing time direction
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 3
\pages 32--41
\mathnet{http://mi.mathnet.ru/svfu357}
\crossref{https://doi.org/10.25587/SVFU.2022.63.27.003}
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