Transversality of homoclinic orbits and exponential dichotomies for parabolic equations

被引：0

作者：

Zeng, WY ^{[1
]}

机构：

[1] Changsha Railway Univ, Res Inst Sci, Changsha 410075, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 216卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence of exponential dichotomies on R of linear parabolic equations depending on small parameters and provide a tool of proving the transversality of the homoclinic orbits of parabolic equations, and by making use of the results on exponential dichotomies of this paper, we investigate the transversality of homoclinic orbits for parabolic equations. (C) 1997 Academic Press.

引用

页码：466 / 480

页数：15

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