Exact bounds for exponential dichotomy roughness. I: Strong dichotomy (Q1106384)
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scientific article; zbMATH DE number 4061706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exact bounds for exponential dichotomy roughness. I: Strong dichotomy |
scientific article; zbMATH DE number 4061706 |
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Exact bounds for exponential dichotomy roughness. I: Strong dichotomy (English)
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1988
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The author considers the unperturbed and perturbed equations (1) \(x'=A(t)x\) and (2) \(y'=[A(t)+B(t)]y,\) where \(t\in {\mathbb{R}}_+\) and A and B are \(n\times n\) matrices. It is shown that if (1) has strong dichotomy on \({\mathbb{R}}_+\), then (2) also has a dichotomy and exact estimates on the exponential dichotomy roughness are obtained.
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strong dichotomy
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exponential dichotomy roughness
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