摘 要:
本文研究了分歧理论中Г-等变分歧问题的F-BD有限决定性和Г-C^0触有限决定性问题.利用奇点理论和李群理论中的某些方法,获得了Г-BD有限决定性和Г-C^0接触有限决定性的一个判别准则,推广了P.B.Percell和孙伟志关于C^0接触有限决定结果.[著者文摘]
文章出处:
《数学杂志》-2008年28卷2期 -157-164页
Journal of Mathematics
分 类 号:
文献标识码:
A
文章编号:
0255-7797(2008)02-0157-08
[参考文献]
Г-BD v-DETERMINATION AND Г-C^ CONTACT v-DETERMINATION OF Г-EQUIVARIANT BIFURCATION PROBLEMS
LIU Heng-xing , LUAN Jin-wen (1. College of Management, Beijing Normal University, Beijing 100875, China;2. School of Math. and Statistics, Wuhan University, Wuhan 430072, China)
Abstract:
In this paper, Г-BD v-determination and Г-C^0 contact v-determination of v-equivariant bifurcation problems are considered. Using singularity theory and Lie group theory, a criterion of Г-BD and Г-C^0 contact v-determination of Г-equivariant bifurcation problems is given. Some results of Percell P. B and Sun W. Z. are generalized.[著者文摘]
Key words:
Г-equivariant bifurcation problems; Г-BD equivalent;Г-C^0 contact equivalent; Г-BD v- determination; Г-C^0 contact v-determination.
收稿日期: 2005-06-23
修订日期: 2006-07-13
基金资助:
国家自然科学基金资助项目(10671009;60534080);北京师范大学博士后流动站基金资助项目.

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