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Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions

Author

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  • Yamin Wang
  • Ziqiao Huang
  • Fuad E. Alsaadi
  • Stanislao Lauria
  • Yurong Liu

Abstract

This paper is concerned with the random attractors for a class of second-order stochastic lattice dynamical systems. We first prove the uniqueness and existence of the solutions of second-order stochastic lattice dynamical systems in the space . Then, by proving the asymptotic compactness of the random dynamical systems, we establish the existence of the global random attractor. The system under consideration is quite general, and many existing results can be regarded as the special case of our results.

Suggested Citation

  • Yamin Wang & Ziqiao Huang & Fuad E. Alsaadi & Stanislao Lauria & Yurong Liu, 2014. "Existence of Random Attractors for a Class of Second-Order Lattice Dynamical Systems with Brownian Motions," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:970120
    DOI: 10.1155/2014/970120
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