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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 4, Pages 697–711
DOI: https://doi.org/10.22363/2413-3639-2023-69-4-697-711 (Mi cmfd523) 		 
Boundary-value problem for an elliptic functional differential equation with dilation and rotation of arguments

L. E. Rossovskiia, A. A. Tovsultanovbc

a RUDN University, Moscow, Russia
b Kadyrov Chechen State University, Grozny, Russia
c North Caucasus Center for Mathematical Research VSC RAS, Vladikavkaz, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-4-697-711
Abstract: The paper is devoted to the Dirichlet problem in a flat bounded domain for a linear second-order functional differential equation in the divergent form with dilation, contraction and rotation of the argument of the higher-order derivatives of the unknown function. We study the existence, the uniqueness and the smoothness of the generalized solution for all possible values of the coefficients and parameters of transformations in the equation.
Keywords: elliptic functional differential equation, boundary-value problem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
The work was financially supported by the Ministry of Education and Science of the Russian Federation within the framework of a state assignment (project № FSSF2023-0016)
Bibliographic databases:
Document Type: Article
UDC: 517.95+517.929
Language: Russian
Citation: L. E. Rossovskii, A. A. Tovsultanov, “Boundary-value problem for an elliptic functional differential equation with dilation and rotation of arguments”, CMFD, 69, no. 4, PFUR, M., 2023, 697–711
Citation in format AMSBIB
\Bibitem{RosTov23}
\by L.~E.~Rossovskii, A.~A.~Tovsultanov
\paper Boundary-value problem for an elliptic functional differential equation with~dilation and rotation of arguments
\serial CMFD
\yr 2023
\vol 69
\issue 4
\pages 697--711
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd523}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-4-697-711}
\edn{https://elibrary.ru/ZCQCLC}
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