Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 74–77
DOI: https://doi.org/10.31857/S2686954321050155 (Mi danma206) 		 
This article is cited in 12 scientific papers (total in 12 papers)

MATHEMATICS

The second boundary value problem for differential-difference equations

A. L. Skubachevskiiab, N. O. Ivanova

a Mathematical Institute of Peoples' Friendship University of Russia, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (130 kB) Citations (12)
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DOI: https://doi.org/10.31857/S2686954321050155
Abstract: We consider the second boundary value problem for a second-order differential-difference equation with variable coefficients on the interval $(0,d)$. It was obtained the necessary and sufficient condition for the existence of a generalized solution. It was proved that, if the right-hand side of the equation is orthogonal in $L_2(0,d)$ to some functions, then a generalized solution from the Sobolev space $W^1_2(0,d)$ belongs to the space $W_2^2(0,d)$.
Keywords: differential–difference equations, generalized solutions, boundary value problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-03-2020-223/3
This work was supported by the Ministry of Education and Science of the Russian Federation as part of the state assignment: agreement no. 075-03-2020-223/3 (FSSF-2020-0018).
Presented: Yu. S. Osipov
Received: 20.08.2021
Revised: 20.08.2021
Accepted: 02.09.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 2, Pages 282–284
DOI: https://doi.org/10.1134/S106456242105015X
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. L. Skubachevskii, N. O. Ivanov, “The second boundary value problem for differential-difference equations”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 74–77; Dokl. Math., 104:2 (2021), 282–284
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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