| 乘积型积分因子的存在定理 |
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| 引用本文： | 赵冠华,陈海俊. 乘积型积分因子的存在定理[J]. 聊城大学学报(自然科学版), 2004, 17(4): 26-27 |
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| 作者姓名： | 赵冠华 陈海俊 |
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| 作者单位： | 邯郸学院,数学系,河北,邯郸,056005 |
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| 摘 要： | 积分因子法是求解一阶常微分方程的一个极其重要的方法．但是在通常情况下，积分因子的寻求比较困难．通过定义常微分方程的乘积型积分因子，得到了乘积型积分因子存在的充要条件和计算公式．
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| 关 键 词： | 积分因子法 乘积 存在定理 常微分方程 充要条件 求解 计算公式 困难 定义 情况 |
| 文章编号： | 1672-6634(2004)04-0026-02 |
The Existence Theorem of Multiplier Integrating Factor |
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| ZHAO Guan-hua,CHEN Hai-jun. The Existence Theorem of Multiplier Integrating Factor[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2004, 17(4): 26-27 |
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| Authors: | ZHAO Guan-hua CHEN Hai-jun |
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| Abstract: | The integrating factor is a very important method to solve differential equation. But founding the integrating factor is generally difficult. Give the definition of multiplier integrating factor about differential equation. Then obtain the necessary and sufficient condition of the existence of multiplier integrating factor and its calculating formula. |
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| Keywords: | fully differential equation multiplier integrating factor general solution |
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