On some equivalence relations of differential equations (Q584499)
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scientific article; zbMATH DE number 4134491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some equivalence relations of differential equations |
scientific article; zbMATH DE number 4134491 |
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On some equivalence relations of differential equations (English)
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1989
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Sufficient conditions are formulated under which the solutions of systems \(\dot x=A(t)x+f(t,x)\) and \(\dot y=A(t)y\) are asymptotically equivalent for \(t\to +\infty\). The author generalizes theorems concerning asymptotic behaviour by Braner, Levinson and his own results about componentwise asymptotics on manifolds.
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asymptotic equivalence
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componentwise asymptotics on manifolds
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