On the exponential growth of solutions to non-linear hyperbolic equations
Existence-uniqueness theorems are proved for continuous solutions of some classes of non-linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.
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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/S0161171289000670 |
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| _version_ | 1849691828196999168 |
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| author | H. Chi H. Poorkarimi J. Wiener S. M. Shah |
| author_facet | H. Chi H. Poorkarimi J. Wiener S. M. Shah |
| author_sort | H. Chi |
| collection | DOAJ |
| description | Existence-uniqueness theorems are proved for continuous
solutions of some classes of non-linear hyperbolic equations in
bounded and unbounded regions. In case of unbounded region, certain
conditions ensure that the solution cannot grow to infinity faster
than exponentially. |
| format | Article |
| id | doaj-art-b5c4a596ce284c87baf96b08ff747fa8 |
| institution | DOAJ |
| 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-b5c4a596ce284c87baf96b08ff747fa82025-08-20T03:20:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112353954510.1155/S0161171289000670On the exponential growth of solutions to non-linear hyperbolic equationsH. Chi0H. Poorkarimi1J. Wiener2S. M. Shah3Department of Mathematics, Pan American University, Edinburg 78509, Texas, USADepartment of Mathematics, Pan American University, Edinburg 78509, Texas, USADepartment of Mathematics, Pan American University, Edinburg 78509, Texas, USADepartment of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USAExistence-uniqueness theorems are proved for continuous solutions of some classes of non-linear hyperbolic equations in bounded and unbounded regions. In case of unbounded region, certain conditions ensure that the solution cannot grow to infinity faster than exponentially.http://dx.doi.org/10.1155/S0161171289000670 |
| spellingShingle | H. Chi H. Poorkarimi J. Wiener S. M. Shah On the exponential growth of solutions to non-linear hyperbolic equations International Journal of Mathematics and Mathematical Sciences |
| title | On the exponential growth of solutions to non-linear hyperbolic equations |
| title_full | On the exponential growth of solutions to non-linear hyperbolic equations |
| title_fullStr | On the exponential growth of solutions to non-linear hyperbolic equations |
| title_full_unstemmed | On the exponential growth of solutions to non-linear hyperbolic equations |
| title_short | On the exponential growth of solutions to non-linear hyperbolic equations |
| title_sort | on the exponential growth of solutions to non linear hyperbolic equations |
| url | http://dx.doi.org/10.1155/S0161171289000670 |
| work_keys_str_mv | AT hchi ontheexponentialgrowthofsolutionstononlinearhyperbolicequations AT hpoorkarimi ontheexponentialgrowthofsolutionstononlinearhyperbolicequations AT jwiener ontheexponentialgrowthofsolutionstononlinearhyperbolicequations AT smshah ontheexponentialgrowthofsolutionstononlinearhyperbolicequations |