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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 12, Pages 3–8 (Mi ivm8953)  
This article is cited in 1 scientific paper (total in 1 paper)

Boundary-value problem for degenerate parabolic equation of high order with varying direction of time

D. Amanov

Department of Differential Equations, Institute of Mathematics at the National University of Uzbekistan, 29 Durmon yuli str., Tashkent, 100125 Republic of Uzbekistan
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Abstract: In the introduction we give a review of related works. In the present paper we investigate a boundary-value problem in a rectangular domain and prove the existence of unique regular solution to this problem. In the proof of the uniqueness of the solution we use the spectral method, and in the proof of existence of solution to considered problem we use the method of separation of variables.
Keywords: degenerate parabolic equation, regular solution, spectral method, separation of variables, Cauchy–Bunyakovskii inequality.
Received: 14.06.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 12, Pages 1–6
DOI: https://doi.org/10.3103/S1066369X14120019
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: D. Amanov, “Boundary-value problem for degenerate parabolic equation of high order with varying direction of time”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 12, 3–8; Russian Math. (Iz. VUZ), 58:12 (2014), 1–6
Citation in format AMSBIB
\Bibitem{Ama14}
\by D.~Amanov
\paper Boundary-value problem for degenerate parabolic equation of high order with varying direction of time
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 12
\pages 3--8
\mathnet{http://mi.mathnet.ru/ivm8953}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 12
\pages 1--6
\crossref{https://doi.org/10.3103/S1066369X14120019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84924027765}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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