| 二维变系数线性微分系统的求解定理 |
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| 引用本文： | 何潜,昌山. 二维变系数线性微分系统的求解定理[J]. 湘南学院学报, 2000, 0(4) |
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| 作者姓名： | 何潜 昌山 |
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| 作者单位： | 郴州师范高等专科学校数学系!湖南郴州423000 |
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| 摘 要： | 先给出二维变系数线性微分系统具有某解的充要条件即引理 1,再提供二维变系数线性微分系统在已知某解的情况下求通解的公式即定理 1.然后利用引理 1或其推论以及定理 1,导出几类二维变系数线性微分系统的通解公式 ,并列举了实例 ,对理论和实际应用都是有益的
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| 关 键 词： | 变系数 线性微分系统 通解公式 |
The Solution Theorem on Two dimensional Variable Codeffeicent Linear Diffierential System |
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| HE Qian,CHANG Shan. The Solution Theorem on Two dimensional Variable Codeffeicent Linear Diffierential System[J]. Journal of Xiangnan University, 2000, 0(4) |
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| Authors: | HE Qian CHANG Shan |
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| Abstract: | First two-dimensional variable coefficient linear differential system,a necessary and sufficient condition that it has some solution is given,and then the formula of general solution under its some known solution is presented .By these,formulas of general solution on some two-dimensioal variable coefficient linear differential systems are inducted and some examples are listed. |
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| Keywords: | varable coefficient linear differential system formula of general solution |
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