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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
2023
Volume 114,
Issue 1,
Pages
3–17
(Mi mzm13986)
On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions
E. R. Avakov
a
,
G. G. Magaril-Il'yaev
bcd
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
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.
UDC:
517.927.4
Received:
01.11.2022
Revised:
21.02.2023
DOI:
10.4213/mzm13986
Fulltext:
PDF file (509 kB)
References
English version:
Mathematical Notes, 2023,
114
:1,
3–14
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024