Stochastic nonlinear beam equations driven by compensated Poisson random measures

Zdzislaw Brzezniak; Jiahui Zhu

Stochastic nonlinear beam equations driven by compensated Poisson random measures

Mathematics

Research output: Working paper › Preprint

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.

Original language	English
Number of pages	56
Publication status	Published - Nov 2010

Access to Document

http://arxiv.org/abs/1011.5377

Cite this

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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",

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AU - Zhu, Jiahui

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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 - Preprint

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

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