Stochastic nonlinear beam equations driven by compensated Poisson random measures

Details Stochastic nonlinear beam equations driven by compensated Poisson random measures Stochastic nonlinear beam equations driven by compensated Poisson random measures

2010-11-24

arxiv.org/abs/1011.5377v1

Mathematics

Probability

56 pages

Scientific paper

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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