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.
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.
出处
《大学数学》
2011年第5期98-102,共5页
College Mathematics
基金
宝鸡文理学院重点科研项目(ZK1014)
关键词
广义RICCATI方程
可积判据
通解
generalized Riccati equation integrable criterion
general solution
