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, it is established that the solution to the mixed problem under study 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.
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ACKNOWLEDGMENTS
The author is sincerely grateful to Associate Professor L. V. Kritskov for valuable advices.
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Translated by I. Tselishcheva
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Abdukarimov, M.F. Stability of a Solution to One Combined Mixed Problem for the Klein–Gordon–Fock Equation with a Variable Coefficient. Moscow Univ. Math. Bull. 76, 45–52 (2021). https://doi.org/10.3103/S0027132221020029
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DOI: https://doi.org/10.3103/S0027132221020029