摘要
给出了Banach空间之间的两个可微映射具有公共值的充分条件 ,证明的方法本质上是基于延拓法·
Sufficient conditions are given to assert that two differentiable mappings between Banach spaces have common values. The proof is essentially based upon continuation methods.
出处
《应用数学和力学》
CSCD
北大核心
2001年第6期609-612,共4页
Applied Mathematics and Mechanics
基金
D .G .E .S .PB基金!资助项目 ( 96_1338_CO2_0 1)
JuntadeAndalucia基金
关键词
延拓法
C^1-同伦
隐函数定理
紧映射
Fredholm映射
微分同胚
Banach空间
zero point
continuation methods
C 1_homotopy
surjective implicit_function theorem
compact mapping
Fredholm mapping
index zero
injective
diffeomorphism