On periodic boundary value problems with an oblique derivative for a second order elliptic equation
Koshanova M. Muratbekova M. Turmetov B.
2021Academic Publications Ltd.
International Journal of Applied Mathematics
2021#34Issue 2259 - 271 pp.
In this paper, we study solvability of new classes of nonlocal boundary value problems for a second-order elliptic type equation. The considered problems are multidimensional analogues (in the case of circular domains) of classical periodic boundary value problems in rectangular domains. To study the main problem, first, an auxiliary boundary value problem with inclined derivative is considered for the second order elliptic equation. The main problems are solved by reducing them to a sequential solution of the Dirichlet problem and the problem with inclined derivative. Theorems on the existence and uniqueness of a solution of considered problems are proved.
boundary value problem , Dirichlet problem , elliptic equation , inclined derivative , periodic problem , solvability
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Kh. Akhmet Yassawi International Kazakh-Turkish University, B. Sattarhanov ave. 29, Turkistan, 162200, Kazakhstan
Kh. Akhmet Yassawi International Kazakh-Turkish University
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