| Riccati微分方程的可积条件 |
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| 引用本文： | 赵临龙.Riccati微分方程的可积条件[J].数学季刊,1999,14(3):67-70. |
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| 作者姓名： | 赵临龙 |
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| 作者单位： | Zhao Linlong(赵临龙) (Department of Mathematics，Shaanxi Ankang Teacher’s College，Ankang，725000) |
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| 基金项目： | teaching material and curriculum system about Shaanxi high education to 21th century，984037， |
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| 摘 要： | Ｉｎ１９９８，ＺｈａｏＬｉｎｌｏｎｇ［１］ｏｂｔａｉｎｅｄｔｈｅｉｎｔｅｇｒａｂｌｅｃｏｎｄｉｔｉｏｎ：Ｒ＝１αγＰｅ２∫（Ｑ－βＤ）ｄｘ （α，β，γｉｓｃｏｎｓｔ）．（１）ＦｏｒＲｉｃｃａｔｉｅｑｕａｔｉｏｎ：ｙ′＝ｐ（ｘ）ｙ２＋Ｑ（ｘ）ｙ＋Ｒ（ｘ） （ＰＲ≠０）．（２） Ｈｅｒｅｔｈｅｎｅｗｉｎｔｅｇｒａｂｌｅｃｏｎｄｉｔｉｏｎｓｉｓｇｉｖｅｎ：Ｌ［ｙ０］＝１αγＰｅ２∫（Ｑ＋２ｙ０ｐ－βＤ）ｄｘ．（３）Ｌ［ＡＢ＋ｙ０］＝１αγ（ＡＢ）２Ｌ［ｙ０］ｅ２∫（２ＢＡＬ［ｙ０］＋Ｑ＋２ｙ…
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| 关 键 词： | RiCCAti微分方程 可积条件 不变量 |
The Integrable Conditions of Riccati Differential Equation |
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| Zhao Linlong.The Integrable Conditions of Riccati Differential Equation[J].Chinese Quarterly Journal of Mathematics,1999,14(3):67-70. |
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| Authors: | Zhao Linlong |
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| Abstract: | In this paper,the new integrable conditions of Riccati equation is presented by invarant of Riccati equation. |
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| Keywords: | Riccati equation invariant integrable conditons |
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