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

Axioms, 2022

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DOI 10.3390/axioms11100543
Data confidence 85 high
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Abstract

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.