| 线性有延迟的微分方程的解 |
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| 引用本文： | 刘全红.线性有延迟的微分方程的解[J].沈阳航空工业学院学报,2004,21(1):79-80. |
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| 作者姓名： | 刘全红 |
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| 作者单位： | 东北大学数学系,辽宁,沈阳,110004 |
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| 摘 要： | 在解决一些有关生物数学的问题时，经常会遇到求解具有延迟的微分方程。到目前为止，还没有非常有效的方法求解这类方程，只是对于一小部分具有特殊形式可以求解。介绍一种此类方程的解法，其主要思想是把微分方程转化为一般的代数方程求解，然后研究解的稳定性，技巧性很强。
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| 关 键 词： | 线性有延迟微分方程 代数方程 稳定性 解题方法 |
| 文章编号： | 1007-1385(2004)01-0079-02 |
| 修稿时间： | 2003年7月21日 |
Solutions to linear delay differential equation |
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| LIU Quan-hong.Solutions to linear delay differential equation[J].Journal of Shenyang Institute of Aeronautical Engineering,2004,21(1):79-80. |
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| Authors: | LIU Quan-hong |
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| Abstract: | How to solve linear delay differential equation plays a very important role in dealing with some biological-mathematics issue.No common effective methods are available currently except some equations with special form.This article mainly discusses solutions to linear delay differential equation,the key clue is to change linear delay differential equation into common algebra equation,and then to consider its stability. |
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| Keywords: | pre-function nonlinear charcacteristic equation stability |
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