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Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations

  • * Corresponding author: Caidi Zhao

    * Corresponding author: Caidi Zhao 
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  • In this article, we first provide a sufficient and necessary condition for the existence of a pullback-$ {\mathcal D} $ attractor for the process defined on a Hilbert space of infinite sequences. As an application, we investigate the non-autonomous discrete Klein-Gordon-Schrödinger system of equations, prove the existence of the pullback-$ {\mathcal D} $ attractor and then the existence of a unique family of invariant Borel probability measures associated with the considered system.

    Mathematics Subject Classification: 35B41, 35D99, 76F20.


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