| 含分段连续函数的两类一阶常微分方程初值问题的求解定理 |
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| 引用本文： | 汤光宋,董丽文.含分段连续函数的两类一阶常微分方程初值问题的求解定理[J].台州学院学报,1995(6). |
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| 作者姓名： | 汤光宋 董丽文 |
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| 作者单位： | 江汉大学数学系
(汤光宋)，台州师专数学系(董丽文) |
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| 摘 要： | 在文献的启示下,对文献中含分段连续函数的线性常微分方程的初值问题作了推广,进一步提出含分段连续函数的Bernoulli(伯努力)方程的初值问题,文中获得了求解这两类初值问题的定理——即公式,直接应用这公式求解简捷明快.
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| 关 键 词： | 分段连续函数 初值问题 求解定理 |
The Solving Theorem for Initial Value Problem of Two First Order Differentiall Equations With Piecewise Continuous Function |
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| Tang Guangsong ,Dong Liwen Math Dept of Jianghan University.The Solving Theorem for Initial Value Problem of Two First Order Differentiall Equations With Piecewise Continuous Function[J].Journal of Taizhou University,1995(6). |
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| Authors: | Tang Guangsong Dong Liwen Math Dept of Jianghan University |
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| Institution: | Tang Guangsong ;Dong Liwen Math Dept of Jianghan University Department of Mathematics |
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| Abstract: | Based on the existing theses, this paper tries to popularize the initiative-value problem of linear differen-tial equation with piecewise continuous function, and goes to pose the initial-value problem of Bernoulli Equa-tion with sectional-continuous function. It arrives at two applicable, quick-solving theorems for the kinds ofinitial-value problems. |
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| Keywords: | sectional-continuous function initial-value problem solving theorem |
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