Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations

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DOI: 10.4236/ijmnta.2019.82003    593 Downloads   1,171 Views  Citations

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.

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Lin, G. and Zhu, C. (2019) Existence of Random Attractor Family for a Class of Nonlinear Higher-Order Kirchhoff Equations. International Journal of Modern Nonlinear Theory and Application, 8, 41-52. doi: 10.4236/ijmnta.2019.82003.

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