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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2018, Volume 24, Issue 2, Pages 18–23
DOI: https://doi.org/10.18287/2541-7525-2018-24-2-18-23 (Mi vsgu571) 		 
Mathematics

On a problem with non-local conditions for the equations of the IV order

A. V. Dyuzheva

Department of Mathematics and Business Informatics, Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Russian Federation
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DOI: https://doi.org/10.18287/2541-7525-2018-24-2-18-23
Abstract: The article deals with a non-local problem with an integral condition for pseudohyperbolic fourth order equation. The dominant mixed derivative which is presented in the equation allows to interpret the problem as an analogue of the Gurs problem. The conditions for the coefficients of the equation and the input data are obtained to ensure the existence of a single task's decision.
Keywords: non-local problem, Sobolev type equation, Goursat problem, equation with dominant mixed derivative, integral conditions, Boussinesq–Love equations.
Received: 04.06.2018
Bibliographic databases:
Document Type: Article
UDC: 519.999
Language: Russian
Citation: A. V. Dyuzheva, “On a problem with non-local conditions for the equations of the IV order”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:2 (2018), 18–23
Citation in format AMSBIB
\Bibitem{Dyu18}
\by A.~V.~Dyuzheva
\paper On a problem with non-local conditions for the equations of the IV order
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 2
\pages 18--23
\mathnet{http://mi.mathnet.ru/vsgu571}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-2-18-23}
\elib{https://elibrary.ru/item.asp?id=36731730}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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