Stochastic nonlinear beam equations driven by compensated Poisson random measures

preprint2010arXivOpen access

Abstract

We consider a type of stochastic nonlinear beam equation driven by Lévy noise. By using a suitable Lyapunov function and applying the Khasminskii test we show the nonexplosion of the mild solutions. In addition, under some additional assumptions we prove the exponential stability of the solutions.

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