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International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 3, Pages 539-545
http://dx.doi.org/10.1155/S0161171289000670
On the exponential growth of solutions to non-linear hyperbolic equations
1Department of Mathematics, Pan American University, Edinburg 78509, Texas, USA
2Department of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USA
Received 9 September 1987
Copyright © 1989 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.