On the theorem of Henri Poincaré (Q923787)
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scientific article; zbMATH DE number 4171359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the theorem of Henri Poincaré |
scientific article; zbMATH DE number 4171359 |
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On the theorem of Henri Poincaré (English)
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1989
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The author considers the Cauchy problem (1) \(dx/dt=A(t)x+G(t,x,\epsilon),\) \(x(0,\epsilon)=0\), where x,G are vectors and A is a matrix. He gives sufficient conditions which guarantee the existence of such \(\epsilon_ 1>0\) that the solution x(t,\(\epsilon\)) of (1) exists, is unique and analytic in \(\epsilon\) for \(t\geq 0\), \(| \epsilon | <\epsilon_ 1\).
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Cauchy problem
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