On the exponential growth of solutions to non‐linear hyperbolic equations
Hongmei Chi, Hushang Poorkarimi, Joseph Wiener, S. M. Shah · International Journal of Mathematics and Mathematical Sciences · 1989
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.