On uniformity of exponential dichotomies for delay equations (Q1881128)
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scientific article; zbMATH DE number 2105803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniformity of exponential dichotomies for delay equations |
scientific article; zbMATH DE number 2105803 |
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On uniformity of exponential dichotomies for delay equations (English)
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4 October 2004
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Consider the linear functional-differential equation \[ \dot x(t)=L x_t\tag{*} \] where \(L:C([-r,0],\mathbb{R}^n)\) is a bounded linear map, \(r>0\) and \(x_t(s)=x(s+t),s\in[-r,0]\). It is proved that (*) has no uniform exponential dichotomy.
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