Attractors for dissipative lattice differential equations with local and nonlocal nonlinearities

Abstract

We study the dynamics of some dissipative lattice differential equations with local and nonlocal nonlinearities. Using a difference inequality due to Nakao [14] and suitable estimates, we prove the existence of global attractors. In addition, we briefly discuss the dynamics of two periodic lattice differential equations. For more information see https://ejde.math.txstate.edu/Volumes/2021/65/abstr.html