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单位阶梯函数表示分段函数的改进及应用
Improvement of Piecewise Function Represented by Unit Step Function and It’ s Applications
【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.
【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 piecewise function containing more than two break points more concise,which simplifies the Laplace transformation to slove nth order inhomogeneous linear differential equations with constant coefficients and disturbed term of piecewise function.
- 【文献出处】 华北水利水电学院学报 ,Journal of North China Institute of Water Conservancy and Hydroelectric Power , 编辑部邮箱 ,2012年05期
- 【分类号】O241.8
- 【被引频次】5
- 【下载频次】157