| 负二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.负二次幂函数与排列数的交错级数型线性微分方程[J].山东理工大学学报,2004,18(5):85-89. |
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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： | 通过把系数含有负二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，所得定理给出了严格的证明，并通过实例介绍了它的应用。
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| 关 键 词： | 交错级数 线性微分方程 幂函数 逐次积分 通解 排列 定理 负二次幂函数 |
| 文章编号： | 1672-6197(2004)05-0085-05 |
| 修稿时间： | 2004年4月3日 |
Solution of interlace series type linear differential equation containing negative second power function and arrangement number |
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| SUN,Chang-jun.Solution of interlace series type linear differential equation containing negative second power function and arrangement number[J].Journal of Shandong University of Technology:Science and Technology,2004,18(5):85-89. |
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| Authors: | SUN Chang-jun |
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| Abstract: | By transforming the interlace series type linear differential equation with coefficients containing negative second order power function and arrangement number into the linear differential equation of successive integral,the theory and method for the general solution of this kind of equation are determined.The theorem obtained is proved strictly and the application is introduced through examples. |
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| Keywords: | negative twice power function arrangement number interlace series successive integral linear differential equation |
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