On the Stability of One-Dimensional Wave Equation
We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/978754 |
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| _version_ | 1849304395406114816 |
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| author | Soon-Mo Jung |
| author_facet | Soon-Mo Jung |
| author_sort | Soon-Mo Jung |
| collection | DOAJ |
| description | We prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions. |
| format | Article |
| id | doaj-art-12d0977dba9e4532bc715ac6e8f8e807 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-12d0977dba9e4532bc715ac6e8f8e8072025-08-20T03:55:44ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/978754978754On the Stability of One-Dimensional Wave EquationSoon-Mo Jung0Mathematics Section, College of Science and Technology, Hongik University, Sejong 339-701, Republic of KoreaWe prove the generalized Hyers-Ulam stability of the one-dimensional wave equation, utt=c2uxx, in a class of twice continuously differentiable functions.http://dx.doi.org/10.1155/2013/978754 |
| spellingShingle | Soon-Mo Jung On the Stability of One-Dimensional Wave Equation The Scientific World Journal |
| title | On the Stability of One-Dimensional Wave Equation |
| title_full | On the Stability of One-Dimensional Wave Equation |
| title_fullStr | On the Stability of One-Dimensional Wave Equation |
| title_full_unstemmed | On the Stability of One-Dimensional Wave Equation |
| title_short | On the Stability of One-Dimensional Wave Equation |
| title_sort | on the stability of one dimensional wave equation |
| url | http://dx.doi.org/10.1155/2013/978754 |
| work_keys_str_mv | AT soonmojung onthestabilityofonedimensionalwaveequation |