| 关于一类广义Riccati方程三个可积判据的注记 |
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| 引用本文： | 冯录祥.关于一类广义Riccati方程三个可积判据的注记[J].大学数学,2011,27(5):98-102. |
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| 作者姓名： | 冯录祥 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡,721013 |
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| 基金项目： | 宝鸡文理学院重点科研项目 |
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| 摘 要： | 通过变量变换的方法,将文1]中一类广义Riccati方程的三个充分性判据统一起来,并加以推广.充分利用参数λ,κ的可变性揭示该结果与现有Riccati方程可积性间的关系,扩大了Riccati方程的可积性范围.
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| 关 键 词： | 广义Riccati方程 可积判据 通解 |
An Annotation of Three Integrable Criterions for One Kind of Generalized Riccati Equation |
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| FENG Lu-xiang.An Annotation of Three Integrable Criterions for One Kind of Generalized Riccati Equation[J].College Mathematics,2011,27(5):98-102. |
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| Authors: | FENG Lu-xiang |
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| Institution: | FENG Lu-xiang(Dept.Math.,Baoji Univ.Arts & Sci.,Baoji,Shanxi 721013,China) |
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| Abstract: | Based on the method of variable transformation, three efficient integrable criterions of the one kind of generalized Riccati equation are united and promoted. With the full use of changeability of parameter λ,x , relationships between the result and the integrability of the Riccati equation are revealed, then the extent of the equation are expanded. |
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| Keywords: | generalized Riccati equation integrable criterion general solution |
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