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Explosive solutions of stochastic nonlinear beam equations with damping

Author:
Liang   Fei  


Journal:
Journal of Mathematical Analysis and Applications


Issue Date:
2014


Abstract(summary):

This study considers a class of damped stochastic nonlinear beam equations driven by multiplicative noise. By an appropriate energy inequality, we provide sufficient conditions such that the local solutions of the stochastic equations blow up with a positive probability or are explosive in an L-2 sense. We also derive estimates of the upper bound of the blow-up time. (C) 2014 Elsevier Inc. All rights reserved.


Page:
849-869


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