大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2011年
5期
98-102
,共5页
广义Riccati方程%可积判据%通解
廣義Riccati方程%可積判據%通解
엄의Riccati방정%가적판거%통해
generalized Riccati equation integrable criterion%general solution
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.
通過變量變換的方法,將文[1]中一類廣義Riccati方程的三箇充分性判據統一起來,併加以推廣.充分利用參數λ,κ的可變性揭示該結果與現有Riccati方程可積性間的關繫,擴大瞭Riccati方程的可積性範圍.
통과변량변환적방법,장문[1]중일류엄의Riccati방정적삼개충분성판거통일기래,병가이추엄.충분이용삼수λ,κ적가변성게시해결과여현유Riccati방정가적성간적관계,확대료Riccati방정적가적성범위.
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.
