| Riccati方程可积的Mitrinovitch条件及常数变易法 |
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| 引用本文： | 范中广,王明建.Riccati方程可积的Mitrinovitch条件及常数变易法[J].西安文理学院学报,2012(3):36-37. |
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| 作者姓名： | 范中广 王明建 |
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| 作者单位： | 郑州师范学院数学系 |
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| 摘 要： | 利用常数变易法,讨论Riccati微分方程可积的Mitrinovitch条件的充分性,并给出满足Mi-trinovitch条件的方程的通解公式.进一步对此条件进行客观的评价.
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| 关 键 词： | 常数变易法 Riccati方程 Mitrinovitch条件 可积性 |
Mitrinovitch Condition of Integrable Riccati Differential Equations and Variation of Constants |
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| FAN Zhong-guang,WANG Ming-jian.Mitrinovitch Condition of Integrable Riccati Differential Equations and Variation of Constants[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2012(3):36-37. |
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| Authors: | FAN Zhong-guang WANG Ming-jian |
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| Institution: | (Department of Mathematics,Zhengzhou Normal University,Zhengzhou 450044,China) |
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| Abstract: | By means of variation of constants,we have discussed the sufficiency of mitrinovitch condition of integrable Riccati differential equations.We have also made an objective assessment of the condition and discussed its applications. |
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| Keywords: | method of variation of constant Riccati equation Mitrinovitch condition Integratle |
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