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二元函数二阶混合偏导数相等的两个充分条件
引用本文:潘涤世. 二元函数二阶混合偏导数相等的两个充分条件[J]. 河北科技大学学报, 1996, 0(2)
作者姓名:潘涤世
作者单位:石家庄师范专科学校
摘    要:给出了两个判断二元函数二阶混合偏导数相等的充分条件,可以用来判定Schwarz定理无法判定的二元函数混合偏导数相等的问题。

关 键 词:Schwarz定理;二阶混合偏导数;累次极限

Two Sufficient Conditions of the Second Order Mixed Partial Derivatives of Two-component Function Are Equal
Pan Dishi. Two Sufficient Conditions of the Second Order Mixed Partial Derivatives of Two-component Function Are Equal[J]. Journal of Hebei University of Science and Technology, 1996, 0(2)
Authors:Pan Dishi
Abstract:This paper derives that the two sufficient conditions to decide the mixed partial derivatives of two-component function are equal, it can be used to decide the problems that the mixed partial derivatives of two-component function are equal which can't decide them by schwarz's theorem.
Keywords:Schwarz's theorem  second order mixed partial derivative  repeated limits  
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