Pereira, Jardel Morais2021-08-272021-08-272021-07-19Pereira, J. M. (2021). Attractors for dissipative lattice differential equations with local and nonlocal nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(65), pp. 1-36.1072-6691https://hdl.handle.net/10877/14475We 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.Text36 pages1 file (.pdf)enAttribution 4.0 InternationalGlobal attractorsDissipative lattice differential equationsLocal and nonlocal nonlinearitiesPeriodic lattice differential equationsDifference inequalityArticle