Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 65, pp. 1-36.

Title: Attractors for dissipative lattice differential equations with local and nonlocal nonlinearities
       
Author: Jardel Morais Pereira (Federal Univ. Santa Catarina, SC, Brazil)

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.

Submitted June 15, 2020. Published July 19, 2021.
Math Subject Classifications: 37L30, 37L60, 39A12.
Key Words: Global attractors; dissipative lattice differential equations;
           local and nonlocal nonlinearities; periodic lattice differential equations;
           difference inequality