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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. 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

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


 English version:
Mathematical Notes, 2023, 114:1, 3–14

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© Steklov Math. Inst. of RAS, 2024