Necessary and sufficient condition for the convergence of formal solutions (Q1113001)
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scientific article; zbMATH DE number 4079990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient condition for the convergence of formal solutions |
scientific article; zbMATH DE number 4079990 |
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Necessary and sufficient condition for the convergence of formal solutions (English)
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1987
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The author shows that a necessary and sufficient condition for the convergence of formal solutions of analytic equations is given by an exponential condition which is a natural extension of a so-called Siegel condition. The result is applied to equations with small divisors, to yield a necessary and sufficient condition for the convergence of formal solutions.
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convergence of formal solutions
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analytic equations
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exponential condition
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Siegel condition
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equations with small divisors
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