| 单位阶梯函数表示分段函数的改进及应用 |
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| 引用本文： | 杨乔,白明月.单位阶梯函数表示分段函数的改进及应用[J].华北水利水电学院学报,2012(5):119-121. |
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| 作者姓名： | 杨乔 白明月 |
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| 作者单位： | 华北水利水电学院,河南郑州450011 |
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| 摘 要： | 采用引入新函数,增加函数定义域的方法,对文献1]用单位阶梯函数表示分段函数的方法进行了改进和完善,使分界点大于两个的分段函数表示变得更简单,简化了利用拉普拉斯变换求解扰动项含有分段函数的n阶常系数非齐次微分方程.
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| 关 键 词： | 单位阶梯函数 分段函数 拉普拉斯变换 |
Improvement of Piecewise Function Represented by Unit Step Function and It＇s Applications |
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| YANG Qiao,BAI Ming-yue.Improvement of Piecewise Function Represented by Unit Step Function and It＇s Applications[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2012(5):119-121. |
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| Authors: | YANG Qiao BAI Ming-yue |
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| Affiliation: | (North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China) |
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| Abstract: | By the introduction of new function and the increase of the function definition domain, a method of represented piecewise function by unit step function which derives from the literature 1 ] is improved. The improvement makes the pieeewise function contai- ning more than two break points more concise, which simplifies the Laplace transformation to slove nth order inhomogeneous linear dif- ferential equations with constant coefficients and disturbed term of piecewise function. |
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| Keywords: | unit step function piecewise function Laplace transform |
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