| 三阶变系数线性微分方程的算子解法 |
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| 引用本文： | 方书盛.三阶变系数线性微分方程的算子解法[J].汕头大学学报(自然科学版),2011,26(3):3-9. |
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| 作者姓名： | 方书盛 |
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| 作者单位： | 汕头市达濠第二中学,广东汕头51507I |
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| 摘 要： | 运用线性微分算子分解的理论,研究了三阶变系数线性方程的算子解法,得到这种解法的方法和步骤,并由所得解法推导出已知类型方程的一些可积类型,通过实例说明所得解法的应用.
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| 关 键 词： | 三阶 变系数 算子解法 可积类型 |
Operator Method to Solve Linear Differential Equations of Third Order with Variable Coefficients |
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| FANG Shu-sheng.Operator Method to Solve Linear Differential Equations of Third Order with Variable Coefficients[J].Journal of Shantou University(Natural Science Edition),2011,26(3):3-9. |
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| Authors: | FANG Shu-sheng |
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| Institution: | FANG Shu-sheng(Dahao Second Middle School of Shantou,Shantou 515071,Guangdong,China) |
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| Abstract: | Results on tile factorization of linear differential opt;rators arc： applied to solve the linear differential equations of the third order with variable t：oefficients, and a solution method is deduced. Some integrablc types of equations arc deduced according to the solution method. Several examples are given to illustrate the application of the, solution method. |
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| Keywords: | third order variable coefficients operator rnethod integrable lype |
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