| 具有奇性的四阶线性常微分方程柯西问题解的渐近式 |
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| 引用本文： | 蔡建平.具有奇性的四阶线性常微分方程柯西问题解的渐近式[J].福建师范大学学报(自然科学版),1992,8(3):7-12. |
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| 作者姓名： | 蔡建平 |
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| 作者单位： | 福建师范大学数学系 漳州师院数学系 |
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| 摘 要： | 本文研究当极限方程有奇性时四阶线性常微分方程的柯西问题解的渐近式。为了建立解的渐近式,把区域分成三个小区域来考虑。在各个小区域内采取不同的方法求解,得到解的不同表达式。
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| 关 键 词： | 奇性 柯西问题 渐近式 常微分方程 |
Asymptotic Expression of Solution of Cauchy's Problem for a Forth Order Linear Ordinary Differential Equation with Singularity |
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| Cai Jianping.Asymptotic Expression of Solution of Cauchy''''s Problem for a Forth Order Linear Ordinary Differential Equation with Singularity[J].Journal of Fujian Teachers University(Natural Science),1992,8(3):7-12. |
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| Authors: | Cai Jianping |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity. In order to constract asymptotic expression of solution, the region is divided into three small regions. In the regions, different methods are used to constract the solution and different expressions are obtained. |
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| Keywords: | limit equation singularity Cauchy's problem asymptotic expression |
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