LINEARIZING THE EXPANDING PART OF NONINVERTIBLE MAPPINGS

被引：9

作者：

AULBACH, B

GARAY, BM

机构：

[1] Dept of Mathematics, University of Augsburg, Augsburg

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1993年 / 44卷 / 03期

关键词：

D O I：

10.1007/BF00953663

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main result of this paper is on partial linearization by means of a topological transformation of a mapping which is not supposed to be invertible. Our approach also provides a new proof (based on elementary degree theory) of the Hartman-Grobman Lemma as well as sharp results on the smoothness of the pseudo-stable foliation. The results are valid in arbitrary Banach spaces.

引用

页码：469 / 494

页数：26

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