On solvability of some nonlocal boundary value problems for biharmonic equation
В. В. КарачикDepartment of Mathematical Analysis , South Ural State University (National Research University) , Prosp. Lenina 76 454080 , Chelyabinsk , RussiaBatirkhan TurmetovDepartment of Mathematics , Khoja Akhmet Yassawi International Kazakh-Turkish University , Sattarkhanov ave., 29 161200 , Turkistan , Kazakhstan
2020en
ABI
Annotatsiya
Abstract In this paper a new class of well-posed boundary value problems for the biharmonic equation is studied. The considered problems are nonlocal boundary value problems of Bitsadze- -Samarskii type. These problems are solved by reducing them to Dirichlet and Neumann type problems. Theorems on existence and uniqueness of the solution are proved and exact solvability conditions of the considered problems are found. In addition, the integral representations of solutions are obtained.
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