| 求一类Riccati微分方程通解的分项组合法 |
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| 引用本文： | 王桂花,王明建.求一类Riccati微分方程通解的分项组合法[J].西安文理学院学报,2011(2):46-48. |
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| 作者姓名： | 王桂花 王明建 |
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| 作者单位： | 郑州师范学院数学系,河南郑州450044 |
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| 基金项目： | 河南省“十五”教育科学规划重点课题（2003-JKGHA-163） |
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| 摘 要： | 讨论了一类Riccati微分方程的通解,得到了它可以使用分项组合法的充要条件,为寻求Riccati微分方程的通解提供了有效的方法,并给出了它的应用.
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| 关 键 词： | Riccati微分方程 通解 分项组合法 充要条件 |
The Partial Combination Method for the General Solution of a Class Riccati Differential Equation |
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| WANG Gui-hua,WANG Ming-jian.The Partial Combination Method for the General Solution of a Class Riccati Differential Equation[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2011(2):46-48. |
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| Authors: | WANG Gui-hua WANG Ming-jian |
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| Institution: | (Department of Mathematics,Zhengzhou Normal University,Zhengzhou 450044,China) |
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| Abstract: | This paper discusses the general solution of a class Riccati differential equations,gives sufficient and necessary condition for using the method of grouping,and provides an effective method for the general solution of Riccati differential equations.It also discusses its potential applications. |
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| Keywords: | Riccati differential equation general solution method of partial combination sufficient and necessary condition |
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