| 一类矩阵微分方程的特解 |
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| 引用本文： | 吴幼明,何佩婷.一类矩阵微分方程的特解[J].四川理工学院学报(自然科学版),2010,23(1):10-13. |
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| 作者姓名： | 吴幼明 何佩婷 |
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| 作者单位： | 佛山科学技术学院数学系,广东,佛山,528000 |
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| 基金项目： | 国家自然科学基金资助项目，佛山科学技术学院创新团队项目 |
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| 摘 要： | 基于微分方程组理论和矩阵理论,采用待定矩阵方法和按列比较方法,给出了非齐次项为二次多项式与指数函数乘积的一类三维二阶常系数线性微分方程组的特解公式,对二种特殊情况进行了讨论,并通过算例验证了微分方程组特解公式的正确性。为高阶微分方程组的解法研究提供了一条有效的途径。
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| 关 键 词： | 常系数 微分方程组 待定矩阵法 特解 |
Particular Solutions to a Kind of Matrix Ordinary Differential Equation |
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| WU You-ming,HE Pei-ting.Particular Solutions to a Kind of Matrix Ordinary Differential Equation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2010,23(1):10-13. |
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| Authors: | WU You-ming HE Pei-ting |
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| Institution: | WU You-ming,HE Pei-ting(Department of Mathematics,Foshan University,Foshan 528000,China) |
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| Abstract: | Based on differential equations theory and matrix theory,and by the method of undermined matrix and column comparison,the paper is devoted to provide a particular solution of finding a kind of systems of three-dimensional second order differential equations with constant coefficients.And the non-homogeneous terms of differential equations are the form of quadratic polynomial multiplied by exponential function.Two special caseses are discussed in detail.For example,the particular solution formulas are valida... |
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| Keywords: | constant coefficients differential equations method of undetermined matrix particular solutions |
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