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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/77893/1/77893.pdf http://psasir.upm.edu.my/id/eprint/77893/ https://www.mdpi.com/2073-8994/11/1/73 |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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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