Random Attractors for Stochastic ????-Laplacian Lattice System with Multi-delay Driven by Lévy Noise

—In this paper, we study the dynamical behavior of stochastic p-Laplacian lattice system with Lévy Noise and Multi-delay. We transform the lattice system with Multi-delay into a lattice system without delay. Then we prove the existence and uniqueness of solutions of system [1.1] by the uniform estimates of solutions. Finally, we choose a Hilbert space as a phase space to investigate the existence and uniqueness of weak pullback mean random attractors. The results of this article is new even the stochastic lattice system driven by single delay or Lévy Noise.