Research output: Working paper

**Stochastic nonlinear beam equations driven by compensated Poisson random measures.** / Brzezniak, Zdzislaw; Zhu, Jiahui.

Research output: Working paper

Brzezniak, Z & Zhu, J 2010 'Stochastic nonlinear beam equations driven by compensated Poisson random measures'. <http://arxiv.org/abs/1011.5377>

Brzezniak, Z., & Zhu, J. (2010). *Stochastic nonlinear beam equations driven by compensated Poisson random measures*. http://arxiv.org/abs/1011.5377

Brzezniak Z, Zhu J. Stochastic nonlinear beam equations driven by compensated Poisson random measures. 2010 Nov.

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title = "Stochastic nonlinear beam equations driven by compensated Poisson random measures",

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. ",

author = "Zdzislaw Brzezniak and Jiahui Zhu",

year = "2010",

month = nov,

language = "English",

type = "WorkingPaper",

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T1 - Stochastic nonlinear beam equations driven by compensated Poisson random measures

AU - Brzezniak, Zdzislaw

AU - Zhu, Jiahui

PY - 2010/11

Y1 - 2010/11

N2 - 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.

AB - 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.

M3 - Working paper

BT - Stochastic nonlinear beam equations driven by compensated Poisson random measures

ER -