等周约束条件下泛函的无条件极值曲线求法证明  

Isoperimetric Functional Constraint Conditions of the Unconditional Extreme Value Curve Method to Prove

作　　者：朱建华[1] 孟新柱[1] 

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《淮阴师范学院学报（自然科学版）》2015年第3期189-192,共4页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：国家自然科学基金资助项目(N11371230);山东省自然科学基金资助项目(ZR2012AM012)

摘　　要：利用函数的连续偏导数,积分分部求解,函数极值的性质,在结合常微分方程中隐函数定理性质,以及高阶常微分方程求解知识,证明了在等周问题约束条件下将条件极值转为无条件极值的类Euler方程.In this paper, we use some basic mathematics knowledge that we learn in the university including of continuous partial derivative function, integral division, the nature of the function extreme value, in combi-nation with ordinary differential equations in the nature of the implicit function theorem, and knowledge of higher order ordinary differential equation, proves that the constraint conditions in isoperimetric problem of Eu-ler equations of conditional extreme value into the unconditional extreme value.

关 键 词：EULER方程 极值性质 隐函数定理 积分变换 

分 类 号：O176.2[理学—数学]