Research output: Working paper
Stochastic nonlinear beam equations driven by compensated Poisson random measures. / Brzezniak, Zdzislaw; Zhu, Jiahui.
2010.Research output: Working paper
}
TY - UNPB
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 -