常微分方程的新的可积类型  

New Integrable Types of Ordinary Differential Equations

作　　者：冯兆生[1,2] 费树岷[1,2] 

机构地区：[1]北方交通大学数学系 [2]东南大学自动化研究所

出　　处：《东南大学学报（自然科学版）》1997年第4期69-75,共7页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金;博士后基金

摘　　要：研究Ｒｉｃａｔｉ方程及二阶变系数线性方程的可积性问题．得到了这些方程的新的可积类型．The integrability problem of the Riccati equation and second order linear differential equations with varying coefficients are studied. Some new integrable types of these equations are obtained. Some examples show that almost all the known results on the same types of equations in references are the special cases of that in this paper.

关 键 词：RICCATI方程 可积性 代数曲线解 常微分方程 

分 类 号：O175.1[理学—数学]