Asymptotic behavior of differential equations (Q2711371)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of differential equations |
scientific article |
Statements
3 February 2002
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scalar dichotomies
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asymptotic integration
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Asymptotic behavior of differential equations (English)
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The authors treat the problem of asymptotic integration of an ordinary differential equation of order \(n\). Given a scalar dichotomy and estimates for the solutions to NEWLINE\[NEWLINEx^{(n)} + a_{n-1}(t) x^{(n-1)} + \dots + a_0(t) x = 0NEWLINE\]NEWLINE the asymptotics of the solutions to NEWLINE\[NEWLINEx^{(n)} + (a_{n-1}(t) - b_{n-1}(t)) x^{(n-1)} + \dots + (a_0(t) + b_0(t)) x = 0NEWLINE\]NEWLINE are investigated.
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