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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 403–412
DOI: https://doi.org/10.4213/mzm11172 (Mi mzm11172) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Boundary-Value Problems for Some Higher-Order Nonclassical Differential Equations

A. I. Kozhanova, N. R. Piniginab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b North-Eastern Federal University named after M. K. Ammosov
Full-text PDF (453 kB) Citations (18)
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DOI: https://doi.org/10.4213/mzm11172
Abstract: The paper consists of two parts. The first part deals with the solvability of new boundary-value problems for the model quasihyperbolic equations
\begin{equation*} (-1)^pD^{2p}_tu=Au+f(x,t), \end{equation*}
where $p>1$, for a self-adjoint second-order elliptic operator $A$. For the problems under study, the existence and uniqueness theorems are proved for regular solutions. In the second part, the results obtained in the first part are somewhat sharpened and generalized.
Keywords: quasihyperbolic equations, boundary-value problems, regular solutions, existence, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582
Received: 14.03.2016
Revised: 13.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 467–474
DOI: https://doi.org/10.1134/S0001434617030087
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, N. R. Pinigina, “Boundary-Value Problems for Some Higher-Order Nonclassical Differential Equations”, Mat. Zametki, 101:3 (2017), 403–412; Math. Notes, 101:3 (2017), 467–474
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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