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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: Amanov, Djumaklich, Ibragimov, Gafurjan, Kilicman, Adem
Format: Article
Language:English
Published: MDPI 2019
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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spelling my.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Amanov, Djumaklich
Ibragimov, Gafurjan
Kilicman, Adem
spellingShingle Amanov, Djumaklich
Ibragimov, Gafurjan
Kilicman, Adem
On a generalization of the initial-boundary problem for the vibrating string equation
author_facet Amanov, Djumaklich
Ibragimov, Gafurjan
Kilicman, Adem
author_sort Amanov, Djumaklich
title 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_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_sort on a generalization of the initial-boundary problem for the vibrating string equation
publisher MDPI
publishDate 2019
url 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
_version_ 1665896046282145792
score 13.223943

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