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arXiv · 2205.06652

Pullback and forward attractors of contractive difference equations

Huy Huynh·Abdullah Kalkan
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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.

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Huy Huynh, Abdullah Kalkan. 2022-05-13. Pullback and forward attractors of contractive difference equations. https://arxiv.org/abs/2205.06652

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