Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 2, Pages 3–10 (Mi vmumm4384)  
Mathematics

Stability of a solution to one combined mixed problem for the Klein–Gordon–Fock equation with a variable coefficient

M. F. Abdukarimov

Lomonosov Moscow State University in Dushanbe
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Abstract: The paper studies one combined mixed problem for the Klein–Gordon–Fock equation with a variable coefficient. The solvability of the problem under consideration is proved. In addition to solvability, it is also substantiated that the solution to the studied mixed problem is stable with respect to an additive perturbation of the coefficient, as well as with respect to the boundary conditions and the right-hand side of the equation.
Key words: Klein–Gordon–Fock equation, mixed problem, solvability, stability, integral equation, Neumann series.
Received: 24.01.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 2, Pages 45–52
DOI: https://doi.org/10.3103/S0027132221020029
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. F. Abdukarimov, “Stability of a solution to one combined mixed problem for the Klein–Gordon–Fock equation with a variable coefficient”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 3–10; Moscow University Mathematics Bulletin, 76:2 (2021), 45–52
Citation in format AMSBIB
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