Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution


Turmetov B. Karachik V.
October 2022MDPI

Axioms
2022#11Issue 10

In this paper, we study the eigenfunctions to one nonlocal second-order differential operator with double involution. We give an explicit form of the eigenfunctions to the boundary value problem in the unit ball with Dirichlet conditions on the boundary. For the problem under consideration, the completeness of the system of eigenfunctions is established.

boundary value problem , double involution , eigenfunctions , eigenvalues , nonlocal differential 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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