On a generalization of the initial-boundary problem for the vibrating string equation
In the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The problem is studied under homogeneous boundary conditions of the first kind. The un...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/77893/1/77893.pdf |
| _version_ | 1796980376765202432 |
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| author | Amanov, Djumaklich Ibragimov, Gafurjan Kilicman, Adem |
| author_facet | Amanov, Djumaklich Ibragimov, Gafurjan Kilicman, Adem |
| author_sort | Amanov, Djumaklich |
| collection | UPM |
| description | In the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The problem is studied under homogeneous boundary conditions of the first kind. The uniqueness and existence of a regular solution of the problem are proved. To prove the main result we use the spectral decomposition method. |
| first_indexed | 2024-03-06T10:22:07Z |
| format | Article |
| id | upm.eprints-77893 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:22:07Z |
| publishDate | 2019 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-778932020-05-04T17:37:00Z http://psasir.upm.edu.my/id/eprint/77893/ On a generalization of the initial-boundary problem for the vibrating string equation Amanov, Djumaklich Ibragimov, Gafurjan Kilicman, Adem In the present paper, we study a generalization of the initial-boundary problem for the inhomogeneous vibrating string equation. The initial conditions include the higher order derivatives of the unknown function. The problem is studied under homogeneous boundary conditions of the first kind. The uniqueness and existence of a regular solution of the problem are proved. To prove the main result we use the spectral decomposition method. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/77893/1/77893.pdf Amanov, Djumaklich and Ibragimov, Gafurjan and Kilicman, Adem (2019) On a generalization of the initial-boundary problem for the vibrating string equation. Symmetry, 11 (1). art. no. 73. pp. 1-10. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/1/73 10.3390/sym11010073 |
| spellingShingle | Amanov, Djumaklich Ibragimov, Gafurjan Kilicman, Adem On a generalization of the initial-boundary problem for the vibrating string equation |
| title | On a generalization of the initial-boundary problem for the vibrating string equation |
| title_full | On a generalization of the initial-boundary problem for the vibrating string equation |
| title_fullStr | On a generalization of the initial-boundary problem for the vibrating string equation |
| title_full_unstemmed | On a generalization of the initial-boundary problem for the vibrating string equation |
| title_short | On a generalization of the initial-boundary problem for the vibrating string equation |
| title_sort | on a generalization of the initial boundary problem for the vibrating string equation |
| url | http://psasir.upm.edu.my/id/eprint/77893/1/77893.pdf |
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