STABILITY OF SOLUTIONS FOR SOME CLASSES OF NONLINEAR DAMPED WAVE EQUATIONS

摘要

We consider two classes of semilinear wave equations with nonnegative damping which may be of type “on–off” or integrally positive. In both cases we give a sufficient condition for the asymptotic stability of the solutions. In the case of integrally positive damping we show that such a condition is also necessary.