一类广义Riccati型方程及其可积性判据的推广  

A New Generalized Riccati-type Equation and the Spread of its Integrability Criterion

作　　者：冯录祥[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《海南大学学报（自然科学版）》2013年第1期8-11,共4页Natural Science Journal of Hainan University

基　　金：陕西省教育厅科研计划项目(2010JK400);宝鸡文理学院科研资助项目(ZK1014)

摘　　要：通过变量变换的方法,把一类广义Riccati型方程及其可积性判据加以推广,并充分利用有关参数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.The variable transformation method was used to spread the generalized Riccati-type Equation and its integrability criterion. And the variability of the parameters was used to elucidate the relationship between the re-sults and some known ones, which extended the integrability range of the Riccati-type Equation.

关 键 词：广义Riccati型方程 可积判据 通解 

分 类 号：O175.1[理学—数学]