Asymptotic behavior of orbits of \(C_{0}\)-semigroups and solutions of linear and semilinear abstract differential equations (Q871751)
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scientific article; zbMATH DE number 5136607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of orbits of \(C_{0}\)-semigroups and solutions of linear and semilinear abstract differential equations |
scientific article; zbMATH DE number 5136607 |
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Asymptotic behavior of orbits of \(C_{0}\)-semigroups and solutions of linear and semilinear abstract differential equations (English)
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26 March 2007
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The authors discuss the asymptotic behavior of solutions of a semilinear evolution equation in a Banach space. The equation contains a linear operator, which is a semigroup (or group) generator, and a nonlinear perturbation, which (as a function of time) belongs to the class of almost periodic, almost automorphic, or Levitan almost periodic Banach space valued functions.
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asymptotic behavior
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abstract differential equation
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