Formal Gevrey solutions of a singularly perturbed equation: The multidimensional case (Q685888)
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scientific article; zbMATH DE number 425540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal Gevrey solutions of a singularly perturbed equation: The multidimensional case |
scientific article; zbMATH DE number 425540 |
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Formal Gevrey solutions of a singularly perturbed equation: The multidimensional case (English)
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23 January 1994
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Nous considérons les équations différentielles possédant un paramètre de contrôle, singulièrment perturbées par un petit paramètre \(\varepsilon\). Nous prouvons alors, par des techniques de majoration directe, que les solutions formelles et le paramètre de contrôle sont des série Gevrey en \(\varepsilon\).
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Gevrey series
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singular perturbations
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asymptotic expansions
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