| 逆微分算子的分解与常系数高阶线性微分方程的求解 |
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| 引用本文： | 贡韶红. 逆微分算子的分解与常系数高阶线性微分方程的求解[J]. 长春大学学报, 2003, 13(6): 36-39,42 |
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| 作者姓名： | 贡韶红 |
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| 作者单位： | 江阴职业技术学院基础部 江苏江阴214431 |
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| 摘 要： | 讨论了微分算子及其逆算子的可分解性，给出求常系数高阶线性微分方程通解的逆算子方程，根据逆算子1/L(D)的复合及分解可直接积分求出微分方程L(D)y=f(x)的通解。
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| 关 键 词： | 逆算子 微分算子 常系数高阶线性微分方程 分解 通解 |
| 文章编号： | 1009-3907(2003)06-0036-04 |
Decomposition of inverse differential operator and solution of high-order linear differential equation with constant coefficients |
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| GONG Shao-hong. Decomposition of inverse differential operator and solution of high-order linear differential equation with constant coefficients[J]. Journal of Changchun University, 2003, 13(6): 36-39,42 |
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| Authors: | GONG Shao-hong |
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| Abstract: | The decomposition of high-order linear differential operator and corresponding contra-operator is discussed. The given inverse differential operator method can be used to decide the general solution of high-order Unear differential equation with constant coefficients L (D)y = f (x) on the basis of the composition and decomposition of inverse differential operator 1/L(D). |
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| Keywords: | linear differential equation inverse differential operator method decomposition operator general solution |
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