Linked dichotomies and asymptotic theory of nondiagonal differential systems (Q2714298)
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scientific article; zbMATH DE number 1604211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linked dichotomies and asymptotic theory of nondiagonal differential systems |
scientific article; zbMATH DE number 1604211 |
Statements
13 June 2001
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\((h,k)\)-dichotomies
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linked dichotomies
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asymptotic equivalence
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asymptotic integration
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Linked dichotomies and asymptotic theory of nondiagonal differential systems (English)
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Dealing with the asymptotic integration of the linear system \(y'=[A(t)+B(t)] y\) (\(B\) is absolutely integrable), the authors introduce the notion of linked dichotomies. Starting from a fundamental matrix of the reduced (in general, nondiagonal) system \(x'=A(t)x\), they prove an asymptotic formula for a fundamental matrix of the original system.
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