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Corpus ID: 118754372

Stochastic nonlinear beam equations driven by compensated Poisson random measures

@article{Brzezniak2010StochasticNB,
title={Stochastic nonlinear beam equations driven by compensated Poisson random measures},
author={Z. Brze'zniak and J. Zhu},
journal={arXiv: Probability},
year={2010}
}

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.