Stability of Solutions for Some Classes of Nonlinear Damped Wave Equations

نویسندگان

  • Genni Fragnelli
  • Dimitri Mugnai
چکیده

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.

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2008