| 利用拉普拉斯变换求解含参变量的广义积分 |
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| 引用本文： | 钱学明.利用拉普拉斯变换求解含参变量的广义积分[J].绵阳师范学院学报,2007,26(5):19-24. |
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| 作者姓名： | 钱学明 |
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| 作者单位： | 无锡科技职业学院基础部,江苏无锡,214028 |
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| 摘 要： | 将含参变量的广义积分取拉普拉斯变换,再通过拉普拉斯逆变换来求解广义积分。并且当其中参变量取某些特殊值时,还可求得其对应的实变量的广义积分的值。该方法简便易行,能够顺利地求解一些通行的《数学分析》教材中很难甚至无法解出的含参变量的广义积分。
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| 关 键 词： | 拉普拉斯变换 含参变量的广义积分 实变量的广义积分 |
| 文章编号： | 1672-612x（2007）05-0019-06 |
| 修稿时间： | 2007-01-22 |
Solving Improper Integral with Variable by Laplace Transform |
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| QIAN Xue-ming.Solving Improper Integral with Variable by Laplace Transform[J].Journal of Mianyang Normal University,2007,26(5):19-24. |
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| Authors: | QIAN Xue-ming |
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| Institution: | Wuxi Professional College of Science and Technology, Jiangsu Wuxi 214028 |
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| Abstract: | In this paper,solution to improper integral has been got by using Laplace transform and inverse Laplace transform to improper integral with variable.Moreover,the value of its opposite real variable's improper integral can also come out.This method is simple and easy to be used to solve smoothly the improper integrals with variables which are difficult to solve or even unable to solve in some commonly-used Mathematical Analysis textbooks. |
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| Keywords: | Laplace transform improper integral with variable real variable's improper integral |
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