摘要
已知函数或其偏导数在边界值为零的一类重积分问题是数学竞赛和专业数学考研中的难点问题.本文通过构造函数结合分部积分法得到了解决这类问题的一个重要结论.
Multiple integrals with integrant functions or their derivatives vanishing on the boundary of integration domains have been appeared in mathematics competitions and graduate student entrance examinations for math majors.This paper,by constructing a special function and using method of integration by parts,obtains an important conclusion which helps in solving the multiple integrals mentioned.
作者
赵艳辉
唐作明
廖春艳
唐亚林
ZHAO Yanhui;TANG Zuoming;LIAO Chunyan;TANG Yaling(College of Science, Hunan University of Science and Engineering, Yongzhou 425199, China;Teachers Development Center, Yongzhou 425100, China)
出处
《高等数学研究》
2020年第2期77-F0003,共3页
Studies in College Mathematics
基金
湖南省自然科学基金面上项目(No:2019JJ40089)
湖南科技学院应用特色学科建设项目。
关键词
边界值
重积分
分部积分法
boundary value
multiple integral
integration by parts
