Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
复制标题
构造分析中隐函数的唯一性、连续性和存在性
DOI:
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发表时间:
2009
期刊:
影响因子:
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通讯作者:
P. Schuster
中科院分区:
文献类型:
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作者:
H. Diener;P. Schuster
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an alternative, fully constructive existence proof.