Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations (Q1608774)
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scientific article; zbMATH DE number 1780509
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations |
scientific article; zbMATH DE number 1780509 |
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Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations (English)
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13 August 2002
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The authors study evolution semigroups associated with nonautonomous functional-differential equations. They transform a given functional-differential equation into an abstract autonomous evolution equation and then derive a representation theorem for the solutions to the underlying functional-differential equation. The representation theorem is then used to study the boundedness and almost-periodicity of solutions to a class of nonautonomous functional-differential equations.
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nonautonomous functional-differential equations
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bounded solutions
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almost-periodic solutions
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