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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 2, Page 262
DOI: https://doi.org/10.31857/S0044466923020126 (Mi zvmmf11512) 		 
Ordinary differential equations

A class of singularly perturbed equations with discontinuous right-hand side in the critical case

Shitao Liua, M. Niab

a School of Mathematical Sciences, East China Normal University, 200241 Shanghai, PR China
b Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, 200003 Shanghai, PR China
DOI: https://doi.org/10.31857/S0044466923020126
Abstract: In this paper, we investigate a class of singularly perturbed equations with discontinuous right-hand side in the critical case. An asymptotic expansion of a contrast structure solution for the system is contrasted. Moreover, results for existence of the solution and estimations of remainders are presented. Finally, an example is provided to verify the theoretical results.
Key words: critical case, singularly perturbed equations, discontinuous right-hand side.
Funding agency Grant number
National Natural Science Foundation of China 11871217
Science and Technology Commission of Shanghai Municipality 18dz2271000
This work is supported by the National Natural Science Foundation of China (no. 11871217) and the Science and Technology Commission of Shanghai Municipality (no. 18dz2271000).
Received: 29.11.2021
Revised: 29.11.2021
Accepted: 14.07.2022
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 2, Pages 218–230
DOI: https://doi.org/10.1134/S0965542523020112
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: English
Citation: Shitao Liu, M. Ni, “A class of singularly perturbed equations with discontinuous right-hand side in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 262; Comput. Math. Math. Phys., 63:2 (2023), 218–230
Citation in format AMSBIB
\Bibitem{LiuNi23}
\by Shitao~Liu, M.~Ni
\paper A class of singularly perturbed equations with discontinuous right-hand side in the critical case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 2
\pages 262
\mathnet{http://mi.mathnet.ru/zvmmf11512}
\crossref{https://doi.org/10.31857/S0044466923020126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4573231}
\elib{https://elibrary.ru/item.asp?id=50435452}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 2
\pages 218--230
\crossref{https://doi.org/10.1134/S0965542523020112}
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