Smooth abnormal problems in extremum theory and analysis
Smooth abnormal problems in extremum theory and analysis
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极值理论与分析中的平滑异常问题
DOI：
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发表时间：
2012
期刊：
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通讯作者：
A. Arutyunov
中科院分区：
文献类型：
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作者：
A. Arutyunov
调查了与反函数定理以及带约束的光滑极值问题中极值的必要和充分的一阶和二阶条件相关的结果。这里的结果与经典结果之间的主要区别在于，前者在没有先验正态性假设的情况下是有效且有意义的。参考书目：48 种。
A survey is given of results related to the inverse function theorem and to necessary and sufficient first- and second-order conditions for extrema in smooth extremal problems with constraints. The main difference between the results here and the classical ones is that the former are valid and meaningful without a priori normality assumptions. Bibliography: 48 titles.