Stochastic nonlinear beam equations driven by compensated Poisson random measures

Research output: Working paper

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DatePublished - Nov 2010
Number of pages56
Original languageEnglish

Abstract

We consider a type of stochastic nonlinear beam equation driven by L\'{e}vy 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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