摘要
首先引入了一类二阶逼近集合和二阶逼近导数.然后讨论了这些二阶逼近集合之间的关系.最后利用一种叫做二阶逼近Φ相依集合,研究了一类集值映射的二阶可微性.
A class of second-order approximating sets and second-order derivatives were introduced.The relationships among second-order approximating sets were discussed.Finally, by using so-called second-order approximating Φ-contingent set,second-order differential properties of a class of set-valued maps were investigated.
出处
《华东师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第5期49-59,共11页
Journal of East China Normal University(Natural Science)
基金
重庆大学中央高校基本科研业务费科研专项研究生科技创新基金(CDJXS10100010)
关键词
二阶逼近导数
二阶逼近集合
可微性质
second-order approximating derivatives
second-order approximating sets
differential properties