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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1410–1436
DOI: https://doi.org/10.33048/semi.2019.16.098 (Mi semr1139) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Differentical equations, dynamical systems and optimal control

New boundary value problems for fourth-order quasi-hyperbolic equations

A. I. Kozhanova, B. Koshanovb, J. Sultangazievac

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Institute of Mathematics and Mathematical Modeling, 125, Pushkin str., Almaty, 050010, Kazakhstan
c Abai Pedagogical University, 13, Dostyk ave., Almaty, 050010, Kazakhstan
Full-text PDF (231 kB) Citations (6)
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DOI: https://doi.org/10.33048/semi.2019.16.098
Abstract: In this paper, we study the correctness in the spaces of S.L. Sobolev of new boundary value problems for quasi-hyperbolic differential equations
$$u_{tttt}+Au=f(x,t)$$
($A$ is an elliptic operator acting on spatial variables). For the proposed tasks theorems on the existence and uniqueness of solutions are proved, and examples of non-uniqueness are given.
Keywords: fourth-order quasi-hyperbolic equations, regular solutions, existence, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41009_Узб_т
Ministry of Education and Science of the Republic of Kazakhstan AP 05135319
Received April 29, 2019, published October 9, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: 35M99, 35R99
Language: Russian
Citation: A. I. Kozhanov, B. Koshanov, J. Sultangazieva, “New boundary value problems for fourth-order quasi-hyperbolic equations”, Sib. Èlektron. Mat. Izv., 16 (2019), 1410–1436
Citation in format AMSBIB
\Bibitem{KozKosSul19}
\by A.~I.~Kozhanov, B.~Koshanov, J.~Sultangazieva
\paper New boundary value problems for fourth-order quasi-hyperbolic equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1410--1436
\mathnet{http://mi.mathnet.ru/semr1139}
\crossref{https://doi.org/10.33048/semi.2019.16.098}
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