| 求解常系数线性非齐次方程特解的一种算子方法 |
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| 引用本文： | 李中恢.求解常系数线性非齐次方程特解的一种算子方法[J].宜春学院学报,2006,28(2):31-33. |
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| 作者姓名： | 李中恢 |
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| 作者单位： | 宜春学院数学与计算机科学学院,江西,宜春,336000 |
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| 摘 要： | 对于求解常系数线性非齐次方程的特解,一般的方法是比较系数法,或者是给出了初始条件后,用拉普拉斯变换法,虽然这些方法比较简便,也很适用,但限制太多,有一定的局限性,本文对微分方程的算子解法作了详细的介绍,以及它的原理及应用,侧重的综合介绍一系列算子方法及重要结果与公式。
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| 关 键 词： | 线性 非齐次微分方程 特解 算子方法 |
| 文章编号： | 1671-380X（2006）02-0031-03 |
| 收稿时间： | 2006-03-16 |
| 修稿时间： | 2006年3月16日 |
A Operator Method of Solving Particular Solution of Constant Coefficient Linearity Non Homogeneous Differential Equation |
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| LI Zhong-hui.A Operator Method of Solving Particular Solution of Constant Coefficient Linearity Non Homogeneous Differential Equation[J].Journal of Yichun University,2006,28(2):31-33. |
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| Authors: | LI Zhong-hui |
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| Institution: | Math And Computer Science School, Jiangxi Yichun University, Yichun, 336000 China |
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| Abstract: | The common methods of solving particular solution of constant coefficient linearity non homogeneous differential equation are comparison multiplier method,or method of Laplace transformation when the initial condition was given.Though these methods are comparatively simple and applicable,they are limited.The essay introduces the principles and applications of the operator method of differential equation in details.Emphasizing particularly on a series operator methods and its important results and formulas. |
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| Keywords: | linearity non homogeneous differential equation particular solution operator method |
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