Department of Mathematics
Federal University of Santa Catarina
88040-900 Florianópolis, SC, Brazil
email: jardel.m.pereira@ufsc.br
Jardel Morais Pereira
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
DOI: https://doi.org/10.58997/ejde.2021.65
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Jardel Morais Pereira Department of Mathematics Federal University of Santa Catarina 88040-900 Florianópolis, SC, Brazil email: jardel.m.pereira@ufsc.br |
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