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The Gevrey Asymptotics in the Case of Singular Perturbations

✍ Scribed by Yasutaka Sibuya

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
327 KB
Volume
165
Category
Article
ISSN
0022-0396

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✦ Synopsis

In this paper, we present results in the Gevrey asymptotics which correspond to some existing results concerning asymptotic solutions in the Poincare asymptotics of singularly perturbed ordinary differential equations. The main idea is based on a characterization of the Gevrey flat functions and a characterizaton of the Gevrey asymptotic expansions as it had been already exhibited by Y.

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