| 线性微分方程组的基本解组新探 |
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| 引用本文： | 阳凌云,符云锦.线性微分方程组的基本解组新探[J].湖南工业大学学报,2011,25(1):40-44. |
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| 作者姓名： | 阳凌云 符云锦 |
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| 作者单位： | 湖南工业大学 理学院;湖南工业大学 理学院 |
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| 摘 要： | 对变系数线性齐次微分方程组的特殊类型的求解问题进行了探讨,给出了系数矩阵为A(x)(各元素为x的多项式)的一阶线性齐次微分方程组解的结构定理,以及系数矩阵为Af(x)(A为n阶常数矩阵,f(x)为可积函数)的一阶线性齐次微分方程组解的结构定理,并通过实例给出了具体的求解方法。
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| 关 键 词： | 微分方程组 基本解组 解法 通解 |
| 收稿时间： | 2010/9/12 0:00:00 |
A New Research on Solution of Linearity Differential Equations |
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| Yang Lingyun and Fu Yunjin.A New Research on Solution of Linearity Differential Equations[J].Journal of Hnnnan University of Technology,2011,25(1):40-44. |
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| Authors: | Yang Lingyun and Fu Yunjin |
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| Affiliation: | (School of Science,Hunan University of Technology,Zhuzhou Hunan 412007,China) |
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| Abstract: | Investigates the solution of special variable coefficient linearity homogeneous differential equations. Presents the structure theorem of first-order linear homogeneous differential equations with coefficient matrix A(x)(each element is polynomial of x) and the structure theorem with coefficient matrix Af(x) (A is n th ordinary matrix and f(x) is an integral function). And provides specific solving methods through examples. |
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| Keywords: | differential equation systems fundamental set of solution solving method general solution |
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