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Sibirskii Zhurnal Industrial'noi Matematiki, 2023, Volume 26, Number 2, Pages 155–170
DOI: https://doi.org/10.33048/SIBJIM.2023.26.213 (Mi sjim1238) 		 
This article is cited in 2 scientific papers (total in 2 papers)

About an initial boundary problem for a degenerate higher even order partial differential equation

A. K. Urinovab, M. S. Azizovb

a Romanovsky Institute of Mathematics AS Respubliki Uzbekistan, ul. Universitetskaya 46, Tashkent 100174, Uzbekistan
b Ferghana State University, ul. Murabbiylar 19, Ferghana 150100, Uzbekistan
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DOI: https://doi.org/10.33048/SIBJIM.2023.26.213
Abstract: For one degenerate differential equation in partial derivatives of high even order with operator The initial boundary value problem is formulated in the rectangle and the existence, uniqueness and stability of the solution of the problem under study are proved.
Keywords: degenerate partial differential equation initial-boundary value problem, spectral problem, the existence, uniqueness and stability of the solution, the method of separation of variables. .
Received: 18.12.2021
Revised: 15.07.2022
Accepted: 12.01.2023
English version:
Journal of Applied and Industrial Mathematics, 2023, Volume 17, Issue 2, Pages 414–426
DOI: https://doi.org/10.1134/S1990478923020199
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. K. Urinov, M. S. Azizov, “About an initial boundary problem for a degenerate higher even order partial differential equation”, Sib. Zh. Ind. Mat., 26:2 (2023), 155–170; J. Appl. Industr. Math., 17:2 (2023), 414–426
Citation in format AMSBIB
\Bibitem{UriAzi23}
\by A.~K.~Urinov, M.~S.~Azizov
\paper About an initial boundary problem for a degenerate higher even order partial differential equation
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 2
\pages 155--170
\mathnet{http://mi.mathnet.ru/sjim1238}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.213}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 2
\pages 414--426
\crossref{https://doi.org/10.1134/S1990478923020199}
Linking options:
  • https://www.mathnet.ru/eng/sjim1238
  • https://www.mathnet.ru/eng/sjim/v26/i2/p155
    • This publication is cited in the following 2 articles:
    1. A. K. Urinov, M. S. Azizov, “Initial-Boundary Value Problem for a Degenerate High Even-Order Partial Differential Equation with the Bessel Operator”, Lobachevskii J Math, 45:2 (2024), 864  crossref
    2. A. K. Urinov, D. D. Oripov, “O razreshimosti odnoi nachalno-granichnoi zadachi dlya vyrozhdayuschegosya uravneniya vysokogo chetnogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 27:4 (2023), 621–644  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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