Jardel Morais Pereira
We study the dynamics of some dissipative lattice differential equations with local and nonlocal nonlinearities. Using a difference inequality due to Nakao  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
Show me the PDF file (452 KB), TEX file for this article.
| Jardel Morais Pereira |
Department of Mathematics
Federal University of Santa Catarina
88040-900 Florianópolis, SC, Brazil
Return to the EJDE web page