On eigenfunctions and eigenvalues of a nonlocal laplace operator with multiple involution


Turmetov B. Karachik V.
October 2021MDPI

Symmetry
2021#13Issue 10

We study the eigenfunctions and eigenvalues of the boundary value problem for the nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions and eigenvalues for the unit ball are obtained. A theorem on the completeness of the eigenfunctions of the problem under consideration is proved.

Dirichlet problem , Eigenfunctions , Eigenvalues , Multiple involution , Nonlocal Laplace operator

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Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan, 161200, Kazakhstan
Department of Mathematical Analysis, South Ural State University (NRU), Chelyabinsk, 454080, Russian Federation

Department of Mathematics
Department of Mathematical Analysis

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