| 一类特殊条件下的重积分问题 |
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| 引用本文： | 赵艳辉,唐作明,廖春艳,唐亚林. 一类特殊条件下的重积分问题[J]. 高等数学研究, 2020, 0(2): 77-F0003 |
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| 作者姓名： | 赵艳辉 唐作明 廖春艳 唐亚林 |
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| 作者单位： | 湖南科技学院理学院;湖南省永州市教师发展中心 |
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| 基金项目： | 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。 |
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| 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.
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| 关 键 词： | 边界值 重积分 分部积分法 |
On Multiple Integrals with Special Conditions |
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| ZHAO Yanhui,TANG Zuoming,LIAO Chunyan,TANG Yalin. On Multiple Integrals with Special Conditions[J]. Studies In College Mathematics, 2020, 0(2): 77-F0003 |
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| Authors: | ZHAO Yanhui TANG Zuoming LIAO Chunyan TANG Yalin |
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| Affiliation: | (College of Science, Hunan University of Science and Engineering, Yongzhou 425199, China;Teachers Development Center, Yongzhou 425100, China) |
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| Abstract: | 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. |
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| Keywords: | boundary value multiple integral integration by parts |
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