Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.3390/sym11010073 |
| Publisher: | MDPI |
| Keywords: | Vibrating string equation; Initial conditions; Spectral decomposition; Regular solution; The uniqueness of the solution; The existence of a solution |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 May 2020 17:37 |
| Last Modified: | 04 May 2020 17:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11010073 |
| URI: | http://psasir.upm.edu.my/id/eprint/77893 |
| Statistic Details: | View Download Statistic |
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