| 关于多级一阶线性常系数微分方程组的一点注记 |
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| 引用本文： | 孙家永. 关于多级一阶线性常系数微分方程组的一点注记[J]. 高等数学研究, 2011, 14(1): 12-13 |
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| 作者姓名： | 孙家永 |
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| 作者单位： | 西北工业大学,陕西,西安,710072 |
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| 摘 要： | 有O初始条件的多级一阶线性常系数微分方程组,可以用拉氏变换求解,并且解还可以用Green矩阵来表达.早已为人所知.但关于Green矩阵的一个在实际中有用的表达形式,因为推导上有毛病,未被普遍接受.本文对此毛病作了点注记.予以克服.
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| 关 键 词： | 多级一阶线性常规系数微分方程组 Green矩阵 强拉氏变换 |
A Remark on Multi-rank Linear System of ODEs with Constant Coefficients |
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| SUN Jia-yong. A Remark on Multi-rank Linear System of ODEs with Constant Coefficients[J]. Studies In College Mathematics, 2011, 14(1): 12-13 |
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| Authors: | SUN Jia-yong |
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| Affiliation: | SUN Jia-yong (Northwestern Polyteehnieal University, Xi＇an 710077,, PRC) |
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| Abstract: | It is well known that a multi-rank linear system of ordinary differential equations with constant coefficients and initial condition 0 can be solved by using Laplace transformation and the solution can be expressed by Green＇s matrix. One of the useful expressions of the Green＇s matrix is, however, imperfect. This note gives a modification of the expression. |
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| Keywords: | multi-rank linear system ordinary differential equations Green＇s matrix strong L-Laplace transformation |
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