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Limiting Behavior of Nonlocal Stochastic Schrödinger Lattice Systems with Time-Varying Delays in Weighted Space

  • Xintao Li,
  • Lianbing She

摘要

This paper deals with the limiting behavior of nonlocal stochastic Schrödinger lattice systems with time-varying delays and multiplicative noise in weighted space. We first consider the existence and uniqueness of tempered pullback random attractors for considered stochastic system and then establish the upper-semicontinuity of these attractors when the length of time delay approaches zero.