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Pullback and forward attractors of contractive difference equations

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.

preprint2022arXivOpen access
Huy HuynhAbdullah Kalkan
math.DS
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Open access2 authors1 topic
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Huy HuynhAbdullah Kalkan

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