三元函数条件极值的充分条件及应用  

Sufficient Conditions and Application for Conditional Extreme Value of Ternary Function

作　　者：李耀红[1] 姜婉婷 李浩[1] LI Yao-hong;JIANG Wan-ting;LI Hao(School of Mathematics and Statistics,Suzhou University,Suzhou,234000,Anhui)

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《蚌埠学院学报》2019年第2期89-92,共4页Journal of Bengbu University

基　　金：安徽省高校自然科学基金重点项目(KJ2017A442;KJ2018A0452);宿州学院自然科学重点项目(2016YZD06;2017YZD16);宿州学院优秀学术技术骨干(2016XJGG13);安徽省质量工程项目(2016SJJD035)

摘　　要：利用隐函数定理和Lagrange乘数法,在一个附加条件和两个附加条件下,探讨了三元函数条件极值存在的充分条件,获得了只依赖Lagrange函数和附加条件导数的判定结果,并给出应用实例。By using implicit function theorem and Lagrange multiplier,sufficient conditions for conditional extreme value of ternary function were studied in this paper under one and two additional conditions.The judgment results relying on derivative of Lagrange function and additional conditions were obtained.Some application examples were given.

关 键 词：隐函数定理 LAGRANGE函数 条件极值 充分条件 

分 类 号：O171[理学—数学]