| Riccati方程的一个新的可解定理 |
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| 引用本文： | 张学元.Riccati方程的一个新的可解定理[J].赣南师范学院学报,1993(Z2). |
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| 作者姓名： | 张学元 |
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| 作者单位： | 湖南省纺织专科学校 |
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| 摘 要： | 本文研究著名的Riccati微分方程的解法,引入了对偶Riccati方程和特征常数的概念,得到Riccati方程的一个新的可解定理,推广了前人的可解结果,然后给出一系列新的实用的可解充分条件,使得求解某些Riccati方程的棘手问题得到满意的解决。
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| 关 键 词： | Riccati方程 对偶Riccati方程特征常数 可解 通解 |
A NEW SOLVABLE THEOREM OF RICCATI EQUATION |
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| Zhang Xueyuan.A NEW SOLVABLE THEOREM OF RICCATI EQUATION[J].Journal of Gannan Teachers' College(Social Science(2)),1993(Z2). |
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| Authors: | Zhang Xueyuan |
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| Institution: | Huuan Textile College |
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| Abstract: | In this paper, we study solutions of the famous Riccati differential equation
and obtain a new solvable theorem, which leads into two concepts of dual Riccati equation and characteristic constant. So, we extend the former solvable results and give a series of new gnchctical solvable sufficient conditions.
By this, the knotty problem of solving some Riccati equations is settjed satisfactorily here, |
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| Keywords: | Riccati equation dual Riccati equation characteristic constant solvable general solution |
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