Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution
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 comp...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/10/543 |
| _version_ | 1797475283902660608 |
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| author | Batirkhan Turmetov Valery Karachik |
| author_facet | Batirkhan Turmetov Valery Karachik |
| author_sort | Batirkhan Turmetov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T20:42:54Z |
| format | Article |
| id | doaj.art-8e104d2da2d249f7b8eb18a7ee4416e7 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T20:42:54Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-8e104d2da2d249f7b8eb18a7ee4416e72023-11-23T22:54:04ZengMDPI AGAxioms2075-16802022-10-01111054310.3390/axioms11100543Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double InvolutionBatirkhan Turmetov0Valery Karachik1Department of Mathematics, Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkistan 161200, KazakhstanDepartment of Mathematical Analysis, South Ural State University (NRU), 454080 Chelyabinsk, RussiaIn 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.https://www.mdpi.com/2075-1680/11/10/543nonlocal differential operatordouble involutionboundary value problemeigenfunctionseigenvalues |
| spellingShingle | Batirkhan Turmetov Valery Karachik Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution Axioms nonlocal differential operator double involution boundary value problem eigenfunctions eigenvalues |
| title | Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution |
| title_full | Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution |
| title_fullStr | Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution |
| title_full_unstemmed | Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution |
| title_short | Construction of Eigenfunctions to One Nonlocal Second-Order Differential Operator with Double Involution |
| title_sort | construction of eigenfunctions to one nonlocal second order differential operator with double involution |
| topic | nonlocal differential operator double involution boundary value problem eigenfunctions eigenvalues |
| url | https://www.mdpi.com/2075-1680/11/10/543 |
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