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• W3182416810 abstract "The article investigates the inverse problem for a complete, inhomogeneous, higher-order Sobolev type equation, together with the Cauchy and overdetermination conditions. This problem was reduced to two equivalent problems in the aggregate: regular and singular. For these problems, the theory of polynomially bounded operator pencils is used. The unknown coefficient of the original equation is restored using the method of successive approximations. The main result of this work is a theorem on the unique solvability of the original problem. This study continues and generalizes the authors’ previous research in this area. All the obtained results can be applied to the mathematical modeling of various processes and phenomena that fit the problem under study." @default.
• W3182416810 created "2021-07-19" @default.
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• W3182416810 date "2021-07-13" @default.
• W3182416810 modified "2023-09-30" @default.
• W3182416810 title "Inverse Problem for the Sobolev Type Equation of Higher Order" @default.
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• W3182416810 doi "https://doi.org/10.3390/math9141647" @default.
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