Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 204, Pages 44–52
DOI: https://doi.org/10.36535/0233-6723-2022-204-44-52 (Mi into940) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Methods for studying differential-difference equations with incommensurable shifts of arguments

E. P. Ivanovaab

a Moscow Aviation Institute (National Research University)
b Peoples' Friendship University of Russia, Moscow
Full-text PDF (210 kB) Citations (2)
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DOI: https://doi.org/10.36535/0233-6723-2022-204-44-52
Abstract: We consider elliptic boundary-value problems for differential-difference equations containing incommensurable shifts of arguments in leading terms. Using the reduction of the original problem to a certain nonlocal problem, we examine the solvability of boundary-value problems, the smoothness of solutions, and spectral properties.
Keywords: elliptic differential-difference equation, incommensurable shifts of arguments, nonlocal boundary-value problem.
Funding agency Grant number
Russian Foundation for Basic Research 20–01–00288
This work was supported by the Russian Foundation for Basic Research (project No. 20–01–00288).
Document Type: Article
UDC: 517.9
MSC: 47G40
Language: Russian
Citation: E. P. Ivanova, “Methods for studying differential-difference equations with incommensurable shifts of arguments”, Proceedings of the Voronezh spring mathematical school  "Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI". Voronezh, May 3-9, 2020, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204, VINITI, Moscow, 2022, 44–52
Citation in format AMSBIB
\Bibitem{Iva22}
\by E.~P.~Ivanova
\paper Methods for studying differential-difference equations with incommensurable shifts of arguments
\inbook Proceedings of the Voronezh spring mathematical school 
"Modern methods of the theory of boundary-value problems. Pontryagin  readings – XXXI".
Voronezh, May 3-9, 2020
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 204
\pages 44--52
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into940}
\crossref{https://doi.org/10.36535/0233-6723-2022-204-44-52}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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