On nonuniform exponential dichotomy of evolution operators in Banach spaces. (Q1865928)
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scientific article; zbMATH DE number 1890583
| Language | Label | Description | Also known as |
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| English | On nonuniform exponential dichotomy of evolution operators in Banach spaces. |
scientific article; zbMATH DE number 1890583 |
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On nonuniform exponential dichotomy of evolution operators in Banach spaces. (English)
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14 May 2003
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The authors study the nonuniform exponential dichotomy of evolution operators in Banach spaces. It is shown that \((C_0,C_0)\)-admissibility for evolution operators implies nonuniformly exponentially dichotomy, and that the converse generally does not as an example shows. This paper is related to the paper of \textit{Nguyen Van Minh, F. Räbiger} and \textit{R. Schnaubelt} [Integral Equations Oper. Theory 32, 332--353 (1998; Zbl 0977.34056)], which discussed the uniform case.
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nonuniform exponential dichotomy
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\((C_0, C_0)\)-admissibility
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evolution operator.
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