范先令.Fredholm映射的集值紧摄动的拓扑度[J].数学研究及应用,1991,11(3):373~376 |
Fredholm映射的集值紧摄动的拓扑度 |
A Topological Degree for Set-Valued Compact Perturbations of Fredholm Maps |
投稿时间:1989-12-01 |
DOI:10.3770/j.issn:1000-341X.1991.03.013 |
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中文摘要: |
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英文摘要: |
Suppose that X is a paracompact oriented C` -Banach-Fredholm manifold, Ω is an open subset of X, E is a Banach space, f:Ω→E is a proper continuous map, f:Ω→E is an admissible (nonlinear) C′-Fredholm map of index zero,G:Ω→2E is an upper semicontinuous compact set-valued map with compact convex values, p∈ E\(f-G)(?Ω). In this paper the degree deg(f-G,Ω,p) is defined. |
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