Overstability: Towards a global study

被引：12
作者：
Benoit, E
Fruchard, A
Schafke, R
Wallet, G
机构：
[1] Univ La Rochelle, Math Lab, F-17042 La Rochelle, France
[2] Universite Louis Pasteur, Dept Math, F-67084 Strasbourg, France
来源：
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 07期
关键词：
D O I：
10.1016/S0764-4442(98)80053-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider singularly perturbed analytic differential equations in the complex domain with a turning point of order p and a p-dimensional control parameter a. We prove existence and exponential closeness of well behaved solutions under some geometric and transversality conditions. Furthermore, properties of formal solutions are studied and an application to "least term summation" is given. (C) Academie des Sciences/Elsevier, Paris.
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页码：873 / 878
页数：6
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