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二元函数二阶混合偏导数相等的两个充分条件
Two Sufficient Conditions of the Second Order Mixed Partial Derivatives of Two-component Function Are Equal
【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。
【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.
【关键词】 Schwarz定理;
二阶混合偏导数;
累次极限;
【Key words】 Schwarz’s theorem; second order mixed partial derivative; repeated limits;
【Key words】 Schwarz’s theorem; second order mixed partial derivative; repeated limits;
- 【文献出处】 河北轻化工学院学报 , 编辑部邮箱 ,1996年02期
- 【分类号】O174.1
- 【被引频次】1
- 【下载频次】230