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Laplace变换表的某些补充结果
引用本文:宁亚琴.Laplace变换表的某些补充结果[J].湘潭大学自然科学学报,1989,11(2):5-10.
作者姓名:宁亚琴
作者单位:湘潭大学数学系
摘    要:本文给出了计算Laplace逆变换的2个定理.它们是海维塞(Heaviside)展开式当F(S)=(?)_n(s)]/ψ_n(s)]中分子与分母次数相同时的推广。依此给出了Laplace变换表的某些补充结果,它们对于求解某类微分方程及积分方程是非常有用的。

关 键 词:Laplace变换  逆变换  表格

SOME ADDITIONAL RESULTS FOR THE TABLE OF THE LAPLACE TRANSFORM
Ning Yaqin.SOME ADDITIONAL RESULTS FOR THE TABLE OF THE LAPLACE TRANSFORM[J].Natural Science Journal of Xiangtan University,1989,11(2):5-10.
Authors:Ning Yaqin
Institution:Department of Mathematics
Abstract:Two theorems for the calculation of the inverse Laplace transform aregiven in this paper, The theorems are the generalization of the Heavisideexpansion when the numerator and the denominator in F(s) =have the same order, Following the theorems, some additional results ofthe table of the Laplace transform are given, These results are very useful for soving some differential and integral equations.
Keywords:Laplace transform  
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