Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

Bernd Aulbach and Nguyen Van Minh

Abstract and Applied Analysis, 2000, vol. 5, issue 4, 245-263

Abstract: We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the solutions of the underlying functional differential equation. The representation theorem is then used to study the boundedness and almost periodicity of solutions of a class of nonautonomous functional differential equations.

Date: 2000
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https://doi.org/10.1155/S1085337501000367

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:5:y:2000:i:4:p:245-263

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