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紧形变的一个正则值
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作者 J·M·索里阿诺 海治(译) 张禄坤(校) 《应用数学和力学》 CSCD 北大核心 2006年第9期1108-1116,共9页
给出了在K上的任意两个Banach空间之间,Fredholm映射在一个特定的开球中,至少有一个共同值的充分条件.结论的证明基于解析开拓法,并具有可构造性.
关键词 正则值 解析开拓法 连续相关定理 C1-同伦 真映射 紧映射 Fredholm映射 拓扑补集 sard-smale定理
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A REGULAR VALUE OF COMPACT DEFORMATION
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作者 J.M.Soriano 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第9期1265-1274,共10页
Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continu... Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one .value in a specific open ball. The proof of the result is constructive and based upon continuation methods. 展开更多
关键词 regular value continuation methods continuous dependence theorem C^1- homotopy proper mapping compact mapping Fredholm mapping topological complement sard-smale theorem
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