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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 209, Pages 25–32
DOI: https://doi.org/10.36535/0233-6723-2022-209-25-32 (Mi into1001) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Ulam–Hyers stability of solutions to first-order differential equations with generalized action

E. Z. Zainullinaa, V. S. Pavlenkoa, A. N. Sesekinab, N. V. Gredasovaa

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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DOI: https://doi.org/10.36535/0233-6723-2022-209-25-32
Abstract: This paper is devoted to sufficient conditions for the Ulam–Hyers stability of solutions of first-order linear differential equations. We introduce the concept of the Ulam–Hyers stability for equations with unbounded right-hand sides whose solutions are functions of bounded variation and obtain sufficient conditions that guarantee this stability.
Keywords: Ulam–Hyers stability, differential equation, discontinuous solution.
Document Type: Article
UDC: 517.9
MSC: 34A37
Language: Russian
Citation: E. Z. Zainullina, V. S. Pavlenko, A. N. Sesekin, N. V. Gredasova, “On Ulam–Hyers stability of solutions to first-order differential equations with generalized action”,  Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 209, VINITI, Moscow, 2022, 25–32
Citation in format AMSBIB
\Bibitem{ZaiPavSes22}
\by E.~Z.~Zainullina, V.~S.~Pavlenko, A.~N.~Sesekin, N.~V.~Gredasova
\paper On Ulam--Hyers stability of solutions to first-order differential equations with generalized action
\inbook  Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 209
\pages 25--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1001}
\crossref{https://doi.org/10.36535/0233-6723-2022-209-25-32}
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