Asymptotic periodicity for some evolution equations in Banach spaces (Q629294)
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scientific article; zbMATH DE number 5862806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic periodicity for some evolution equations in Banach spaces |
scientific article; zbMATH DE number 5862806 |
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Asymptotic periodicity for some evolution equations in Banach spaces (English)
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9 March 2011
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This paper deals with the existence and uniqueness of weighted pseudo-almost periodic and asymptotically \(\omega\)-periodic mild solutions to some evolution equations in Banach space. The proof uses composition results and some fixed point theorems such as: contraction mapping principle, Leray-Schauder alternative, and Krasnosel'skii's theorem.
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weighted pseudo-almost periodic functions
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pseudo-almost periodic function of class p
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asymptotically \(\omega\)-periodic function
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integral resolvent family
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mild solutions
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phase space
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Hille-Yosida operator
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evolution equation
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