Pullback and forward attractors of contractive difference equations
Dynamical Systems
2022-05-16 v1
Abstract
The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions. As an application, we investigate attractors of integrodifference equations which are popular models in theoretical ecology.
Keywords
Cite
@article{arxiv.2205.06652,
title = {Pullback and forward attractors of contractive difference equations},
author = {Huy Huynh and Abdullah Kalkan},
journal= {arXiv preprint arXiv:2205.06652},
year = {2022}
}
Comments
20 pages, 1 figure, 4 tables