Center manifolds for nonuniform trichotomies and arbitrary growth rates (Q974365)
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scientific article; zbMATH DE number 5713048
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Center manifolds for nonuniform trichotomies and arbitrary growth rates |
scientific article; zbMATH DE number 5713048 |
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Center manifolds for nonuniform trichotomies and arbitrary growth rates (English)
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27 May 2010
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The authors study the existence of center manifolds for perturbed equations of the form \[ v'=A(t)v+f(t,v), \] where \(A(t)\) is a bounded linear operator in a Banach space depending continuously on \(t\), and the unperturbed linear equation \(v'=A(t)v\) satisfies a nonuniform exponential dichotomy condition. Some perturbation conditions are given for the existence of center manifolds.
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center manifolds
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nonuniform exponential trichotomies
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