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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 8, Pages 1296–1308
DOI: https://doi.org/10.31857/S0044466923080021 (Mi zvmmf11599) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Ordinary differential equations

On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side

O. V. Baskov, D. K. Potapov

St. Petersburg State University, 199034, St. Petersburg, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466923080021
Abstract: A boundary value problem for a second-order ordinary differential equation with a parameter and discontinuous right-hand side is considered. Theorems on the number of solutions to the problem are established. The resulting solutions are illustrated by plots. The process of numerically solving the problem is described.
Key words: boundary value problem, ordinary differential equation, discontinuous right-hand side, analytical solution, numerical solution.
Funding agency Grant number
Russian Science Foundation 23-21-00069
This research was funded by the Russian Science Foundation, project no. 23-21-00069, https://rscf.ru/en/project/23-21-00069/.
Received: 25.02.2023
Revised: 15.03.2023
Accepted: 30.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 8, Pages 1424–1436
DOI: https://doi.org/10.1134/S096554252308002X
Bibliographic databases:
Document Type: Article
UDC: 517.911.5+517.927
Language: Russian
Citation: O. V. Baskov, D. K. Potapov, “On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1296–1308; Comput. Math. Math. Phys., 63:8 (2023), 1424–1436
Citation in format AMSBIB
\Bibitem{BasPot23}
\by O.~V.~Baskov, D.~K.~Potapov
\paper On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 8
\pages 1296--1308
\mathnet{http://mi.mathnet.ru/zvmmf11599}
\crossref{https://doi.org/10.31857/S0044466923080021}
\elib{https://elibrary.ru/item.asp?id=54270657}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 8
\pages 1424--1436
\crossref{https://doi.org/10.1134/S096554252308002X}
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  • https://www.mathnet.ru/eng/zvmmf/v63/i8/p1296
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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