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<p>The current paper is devoted to the uniform measure attractors for stochastic delayed lattice differential equations driven by the nonlinear multiplicative noise and almost periodic external force. Due to the nonlinear multiplicative noise, the classical theory for the random attractors of random dynamical systems could not be applied. We establish the existence of uniform measure attractors for stochastic delayed lattice differential equations driven by the nonlinear multiplicative noise and almost periodic external force by the skew-product semiflow and the tail-estimate technique.</p>

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Uniform Measure Attractors for Non-autonomous Stochastic Lattice Systems with Delays

  • 期刊论文

  • 发表日期：

    2025年11月17日

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  • Xiuqi Huang,
  • Yicheng Liu,
  • Dingshi Li

摘要

The current paper is devoted to the uniform measure attractors for stochastic delayed lattice differential equations driven by the nonlinear multiplicative noise and almost periodic external force. Due to the nonlinear multiplicative noise, the classical theory for the random attractors of random dynamical systems could not be applied. We establish the existence of uniform measure attractors for stochastic delayed lattice differential equations driven by the nonlinear multiplicative noise and almost periodic external force by the skew-product semiflow and the tail-estimate technique.