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.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000670 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |