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Solvability of mixed problems for the wave equation with reflection of the argument

Elmira MussirepovaScientific Center for Theoretical and Applied Mathematics and Department of Mathematics M. Auezov South Kazakhstan University Shymkent KazakhstanAbdissalam SarsenbiDepartment of Informatics and Mathematics Academician A. Kuatbekov University of Peoples' Friendship Shymkent KazakhstanAbdizhahan SarsenbiDepartment of Informatics and Mathematics Academician A. Kuatbekov University of Peoples' Friendship Shymkent Kazakhstan
2022en
ABI

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The paper considers mixed problems for the wave equation with reflection of the argument, with a complex‐valued variable coefficient. The existence and uniqueness of solution of the studied problems is established by the method of separation of variables.

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