| 特征函数在高阶常微分方程特解计算中的应用 |
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| 引用本文： | 龚东山,刘岳巍,牛富俊.特征函数在高阶常微分方程特解计算中的应用[J].松辽学刊,2008,29(4):8-10. |
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| 作者姓名： | 龚东山 刘岳巍 牛富俊 |
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| 作者单位： | 兰州大学数学与统计学院，中国科学院寒区旱区环境与工程研究所冻土工程国家重点实验室 |
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| 基金项目： | 国家自然科学基金对外交流与合作项目
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| 摘 要： | 通过借助特征函数的导数，得到了非齐次项为特殊函数情形的一类高阶常微分方程的一个特解的一种新的计算方法．运用该方法，还得到了非齐次项为常见情形时方程的一个特解．
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| 关 键 词： | 微分方程 特征函数 非齐次 特解 应用 |
The Application of Eigenfunction in Calculating Special Solution of High-order Ordinary Differential Equations |
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| GONG Dong-shan,LIU Yue-wei,NIU Fu-jun.The Application of Eigenfunction in Calculating Special Solution of High-order Ordinary Differential Equations[J].Songliao Journal (Natural Science Edition),2008,29(4):8-10. |
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| Authors: | GONG Dong-shan LIU Yue-wei NIU Fu-jun |
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| Institution: | GONG Dong-shan, LIU Yue-wei, NIU Fu-jun (1 .School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.State Key Laboratory of Frozen Soil of Engineering, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000,China) |
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| Abstract: | The article introduces a new computing method for a king of high-order ordinary differential equations which has a non-homogeneous special function by dint of the derivative of eigenfunction.Moreover using the method,we get a special solution of the differential equation when the non-homogeneous function is general. |
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| Keywords: | differential equation eigenfunction non-homogeneous special solution application |
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