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Pullback and forward attractors of contractive difference equations - MaRDI portal

Pullback and forward attractors of contractive difference equations (Q2113757)

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scientific article; zbMATH DE number 7488809
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Pullback and forward attractors of contractive difference equations
scientific article; zbMATH DE number 7488809

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    Pullback and forward attractors of contractive difference equations (English)
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    14 March 2022
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    Summary: 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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    pullback attractor
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    forward attractor
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    contractive mapping
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    dissipative difference equation
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    semilinear difference equation
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    contractive difference equation
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    integrodifference equation
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