| 一类整系数Riccati微分方程特解的求法 |
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| 引用本文： | 闫淑霞,王明建.一类整系数Riccati微分方程特解的求法[J].西安文理学院学报,2011(3):40-42. |
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| 作者姓名： | 闫淑霞 王明建 |
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| 作者单位： | [1]郑州师范学院初等教育部,河南郑州450044 [2]郑州师范学院数学系,河南郑州450044 |
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| 摘 要： | 对一类系数为整式函数的Riccati微分方程，首先给出求此类方程特解存在的充要条件，再用初等方法求其特解，最后结合实例给出应用说明．
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| 关 键 词： | 整系数 Riccati微分方程 特解 存在性 充要条件 |
Methods of Special Solution at Some Integrol Coefficients Riccati Differential Equations |
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| YAN Shu-xia,WANG Ming-jian.Methods of Special Solution at Some Integrol Coefficients Riccati Differential Equations[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2011(3):40-42. |
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| Authors: | YAN Shu-xia WANG Ming-jian |
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| Institution: | 1. Department of Elementary Education, Zhengzhou Normal University, Zhengzhou 450044, China; 2. Department of Mathematics, Zhengzhou Normal University, Zhengzhou 450044, China ) |
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| Abstract: | This paper finds special solution of a kinds polynomial function Integrol coefficients Riccati Differential Equations. We discuss the necessary and sufficient conditions and apply the elementary method for getting the special solution of the equation. Examples are also provided for the illustrating the application. |
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| Keywords: | polynomial function Integrol eoefficients Rieeati differential equation special solu- tion existence necessary and sufficient condition |
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