Dynamic behavior of stochastic p-Laplacian-type lattice equations

作者：Gu, Anhui^*; Li, Yangrong

来源：Stochastics and Dynamics, 2017, 17(5): 1750040.

DOI：10.1142/S021949371750040X

• Random dynamical system
• stochastic p-Laplacian-type lattice equations
• random attractor
• continuity of attractors

In this paper, we consider the dynamic behavior of stochastic p-Laplacian-type lattice equations perturbed by a multiplicative noise. Under weaker dissipative conditions compared to the cases of stochastic p-Laplacian-type equations in bounded and unbounded domains, we first obtain the existence of a unique random attractor. We also establish the approximation of the random attractors from finite lattice to infinite lattice, which indicates that the family of random attractors is upper and lower semi-continuous when the number of the lattice nodes tends to infinity.

• 出版日期2017-10
• 单位西南大学