| 负三次幂函数与排列数的交错级数型线性微分方程 |
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| 引用本文： | 孙长军. 负三次幂函数与排列数的交错级数型线性微分方程[J]. 河北理工学院学报, 2005, 27(3): 88-91,104 |
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| 作者姓名： | 孙长军 |
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| 作者单位： | 连云港职业技术学院数学教研室,江苏连云港222006 |
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| 摘 要： | 通过把系数含有负三次幂函数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,把所得定理给出了严格的证明,并将其推广,同时通过实例介绍了它的应用.
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| 关 键 词： | 负三次幂函数 排列数 交错级数 逐次积分 线性微分方程 解法 |
| 文章编号： | 1007-2829（2005）03-0088-04 |
| 收稿时间： | 2004-07-04 |
| 修稿时间： | 2004-07-04 |
The Solution of the Interlace Series Type Linear Differential Equation With three Negative Numbers |
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| SUN Chang-jun. The Solution of the Interlace Series Type Linear Differential Equation With three Negative Numbers[J]. Journal of Hebei Institute of Technology, 2005, 27(3): 88-91,104 |
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| Authors: | SUN Chang-jun |
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| Affiliation: | Liangyungang Technical College ,Lianyuangang Jiangsu 222006, China |
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| Abstract: | Throush the interlace series type linear differential equation, coefficient containing three negative number of times, power function and arrangement number can be changed into the linear differential equation of successive integral. The theory and method showed this kind of equation is to untie and happened to have given strict proof,and application. |
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| Keywords: | negative three number of times power function arrangement number interlace series successive integral linear differential equation solution |
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