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Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation
Department of Mathematics, Yunnan University, Kunming, China
Department of Mathematics, Yunnan University, Kunming, China
Department of Mathematics, Yunnan University, Kunming, China
- 1 Department of Mathematics, Yunnan University, Kunming, China
- 2 Department of Mathematics, Yunnan University, Kunming, China
- 3 Department of Mathematics, Yunnan University, Kunming, China
International Journal of Modern Nonlinear Theory and Application·Volume 06 (2017)·Pages 59–69·Published 14 June 2017·DOI10.4236/ijmnta.2017.62005
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Abstract
In this paper, we consider the stochastic higher-order Kirchhoff-type equation with nonlinear strongly dissipation and white noise. We first deal with random term by using Ornstein-Uhlenbeck process and establish the wellness of the solution, then the existence of global random attractor are proved.
KeywordsRandom Dynamical SystemRandom AttractorStrongly DissipationWhite Noise
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