A Note on Wave Equation and Convolutions
We study the first-order nonhomogenous wave equation. We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/2007/49251 |
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| _version_ | 1832554843610284032 |
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| author | Adem Kiliçman Hassan Eltayeb |
| author_facet | Adem Kiliçman Hassan Eltayeb |
| author_sort | Adem Kiliçman |
| collection | DOAJ |
| description | We study the first-order nonhomogenous wave equation. We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results. |
| format | Article |
| id | doaj-art-6f9f8cb1c98a489c9847783551731c24 |
| institution | Kabale University |
| issn | 1687-4099 1687-4102 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Differential Equations and Nonlinear Mechanics |
| spelling | doaj-art-6f9f8cb1c98a489c9847783551731c242025-02-03T05:50:21ZengWileyDifferential Equations and Nonlinear Mechanics1687-40991687-41022007-01-01200710.1155/2007/4925149251A Note on Wave Equation and ConvolutionsAdem Kiliçman0Hassan Eltayeb1Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu (UMT), Terengganu, Kuala Terengganu 21030, MalaysiaDepartment of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu (UMT), Terengganu, Kuala Terengganu 21030, MalaysiaWe study the first-order nonhomogenous wave equation. We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results.http://dx.doi.org/10.1155/2007/49251 |
| spellingShingle | Adem Kiliçman Hassan Eltayeb A Note on Wave Equation and Convolutions Differential Equations and Nonlinear Mechanics |
| title | A Note on Wave Equation and Convolutions |
| title_full | A Note on Wave Equation and Convolutions |
| title_fullStr | A Note on Wave Equation and Convolutions |
| title_full_unstemmed | A Note on Wave Equation and Convolutions |
| title_short | A Note on Wave Equation and Convolutions |
| title_sort | note on wave equation and convolutions |
| url | http://dx.doi.org/10.1155/2007/49251 |
| work_keys_str_mv | AT ademkilicman anoteonwaveequationandconvolutions AT hassaneltayeb anoteonwaveequationandconvolutions AT ademkilicman noteonwaveequationandconvolutions AT hassaneltayeb noteonwaveequationandconvolutions |