On a global classical solution of a quasilinear hyperbolic equation
In this paper we establish the existence and uniqueness of global classical solutions for the equation which arises in the study of the extensional vibrations of thin rod, or torsional vibrations of thin rod.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000049 |
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| _version_ | 1832552761882836992 |
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| author | Y. Ebihara D. C. Pereira |
| author_facet | Y. Ebihara D. C. Pereira |
| author_sort | Y. Ebihara |
| collection | DOAJ |
| description | In this paper we establish the existence and uniqueness of global classical
solutions for the equation which arises in the study of the extensional vibrations of
thin rod, or torsional vibrations of thin rod. |
| format | Article |
| id | doaj-art-31b0a6e7915240c7be19e07b34103dbf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-31b0a6e7915240c7be19e07b34103dbf2025-02-03T05:57:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-01121293710.1155/S0161171289000049On a global classical solution of a quasilinear hyperbolic equationY. Ebihara0D. C. Pereira1Department of Applied Mathematics, Faculty of Science, Fukuoka University, Fukuoka 814-01, Japanlnstituto de Mathematica-UFRJ, Rio de Janeiro CP 68530, CEP 21944, BrazilIn this paper we establish the existence and uniqueness of global classical solutions for the equation which arises in the study of the extensional vibrations of thin rod, or torsional vibrations of thin rod.http://dx.doi.org/10.1155/S0161171289000049 |
| spellingShingle | Y. Ebihara D. C. Pereira On a global classical solution of a quasilinear hyperbolic equation International Journal of Mathematics and Mathematical Sciences |
| title | On a global classical solution of a quasilinear hyperbolic equation |
| title_full | On a global classical solution of a quasilinear hyperbolic equation |
| title_fullStr | On a global classical solution of a quasilinear hyperbolic equation |
| title_full_unstemmed | On a global classical solution of a quasilinear hyperbolic equation |
| title_short | On a global classical solution of a quasilinear hyperbolic equation |
| title_sort | on a global classical solution of a quasilinear hyperbolic equation |
| url | http://dx.doi.org/10.1155/S0161171289000049 |
| work_keys_str_mv | AT yebihara onaglobalclassicalsolutionofaquasilinearhyperbolicequation AT dcpereira onaglobalclassicalsolutionofaquasilinearhyperbolicequation |