Attractors for dissipative lattice differential equations with local and nonlocal nonlinearities
Date
2021-07-19
Authors
Pereira, Jardel Morais
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Global attractors, Dissipative lattice differential equations, Local and nonlocal nonlinearities, Periodic lattice differential equations, Difference inequality
Citation
Pereira, 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.
Rights
Attribution 4.0 International