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J4 ›› 2008, Vol. 43 ›› Issue (12): 20-23.

• 论文 • 上一篇    下一篇

非线性算子的渐近歧点

邹玉梅,陶常利,崔玉军   

  1. 山东科技大学 信息科学与工程学院, 山东 青岛 266510
  • 收稿日期:2008-07-15 出版日期:2008-12-16 发布日期:2009-11-09
  • 通讯作者: 邹玉梅 sdzouym@126.com

Asymptotic bifurcation points of nonlinear operators

 ZOU Yu-Mei, TAO Chang-Li, CUI Yu-Jun   

  1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong, China
  • Received:2008-07-15 Online:2008-12-16 Published:2009-11-09

摘要:

在不假设算子渐近Fréchet导数存在的条件下, 利用齐次算子研究Banach空间中非线性全连续算子渐近歧点的存在性和不存在性。

关键词: 拓扑度; 渐近歧点; Banach空间

Abstract:

The existence and nonexistence of asymptotic bifurcation points of nonlinear operators in Banach space was investigated by use of a positively homogeneous operator under the conditions that the asymptotic Fréchet differentiability is not assumed.

Key words: topological degree; asymptotic bifurcation points; Banach space

中图分类号: 

  • O177.91
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