| 变系数线性常微分算子的正规能解性 |
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| 引用本文： | 韩流冰,叶建军.变系数线性常微分算子的正规能解性[J].西南交通大学学报,1996,31(5):478-482. |
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| 作者姓名： | 韩流冰 叶建军 |
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| 作者单位： | 西南交通大学应用数学系 |
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| 摘 要： | 结合广义函数论，局部凸拓扑空间理论和正规能解算子理论，证明了变系数线性常数分算子的正规能解性，从而解决了相应微分方程的弱解存在性问题。
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| 关 键 词： | 正规算子 常微分算子 线性 正规能解性 变系数 |
The Normal Solvability of Linear Ordinary Differential Operators with Variable Coefficient |
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| Han,Liubin Ye,Jianjun.The Normal Solvability of Linear Ordinary Differential Operators with Variable Coefficient[J].Journal of Southwest Jiaotong University,1996,31(5):478-482. |
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| Authors: | Han Liubin Ye Jianjun |
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| Abstract: | The theory of distributions,locally convex topology space and normal solvable operator are applied to prove the normal solvability of linear ordinary differential operators with variable coefficients,and the problem of distributions divided by polynomial for n =1 is solved. |
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| Keywords: | normal operators weak solutions semi norms Montel space |
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