Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations
Open Access
- 1 January 2019
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in International Journal of Modern Nonlinear Theory and Application
- Vol. 08 (02), 41-52
- https://doi.org/10.4236/ijmnta.2019.82003
Abstract
The existence of random attractor family for a class of nonlinear nonlocal higher-order Kirchhoff partial differential equations with additive white noise is studied. The weak solution of the equation is established by the Ornstein-Uhlenbeck process to deal with the random term, and a bounded random absorption set is obtained. And then, the existence of the random attractor family is proved by the isomorphism mapping method.Keywords
This publication has 3 references indexed in Scilit:
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- Random Attractors for the Kirchhoff-Type Suspension Bridge Equations with Strong Damping and White NoisesInternational Journal of Modern Nonlinear Theory and Application, 2017
- Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applicationsJournal of Mathematical Analysis and Applications, 2008