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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 3, Pages 445–563
DOI: https://doi.org/10.22363/2413-3639-2023-69-3-445-563 (Mi cmfd513) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems

O. V. Solonukha

Federal Research Center “Computer Science and Control” of the RAS, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-3-445-563
Abstract: In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions. The main feature of the equations under consideration is that the difference operator is located in the principal part of the nonlinear operator containing higher-order derivatives.
Keywords: nonlinear differential-difference equations, nonlocal boundary conditions, shift in spatial variables, elliptic equation, parabolic equation, initial-boundary value problem, periodic solutions, pseudomonotone operator, operator with semi-bounded variation, ellipticity condition, strong ellipticity condition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-1115
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (Megagrant, agreement No. 075-15-2022-1115) in Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University).
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. V. Solonukha, “Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems”, CMFD, 69, no. 3, PFUR, M., 2023, 445–563
Citation in format AMSBIB
\Bibitem{Sol23}
\by O.~V.~Solonukha
\paper Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems
\serial CMFD
\yr 2023
\vol 69
\issue 3
\pages 445--563
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd513}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-3-445-563}
\edn{https://elibrary.ru/EANPTD}
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    • This publication is cited in the following 1 articles:
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