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Matematicheskie Zametki, 2023, Volume 114, Issue 1, Pages 3–17
DOI: https://doi.org/10.4213/mzm13986 (Mi mzm13986) 		 
On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions

E. R. Avakova, G. G. Magaril-Il'yaevbcd

a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
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DOI: https://doi.org/10.4213/mzm13986
Abstract: A theorem is proved on the continuous dependence of a solution of a differential equation on the right-hand side and on the boundary conditions of general form.
Keywords: differential equation, boundary conditions, conjugate point.
Received: 01.11.2022
Revised: 21.02.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 1, Pages 3–14
DOI: https://doi.org/10.1134/S0001434623070015
Bibliographic databases:
Document Type: Article
UDC: 517.927.4
Language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions”, Mat. Zametki, 114:1 (2023), 3–17; Math. Notes, 114:1 (2023), 3–14
Citation in format AMSBIB
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\by E.~R.~Avakov, G.~G.~Magaril-Il'yaev
\paper On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru/mzm13986}
\crossref{https://doi.org/10.4213/mzm13986}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4634767}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 1
\pages 3--14
\crossref{https://doi.org/10.1134/S0001434623070015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85168608356}
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