一类Riccati微分方程通解的充要条件  

The Necessary and Sufficient Condition of the General Solution to a Class of Riccati Differential Equations

作　　者：陈冬君[1] 叶永升[1] 王慧[1] 刘婉璐[1] CHEN Dongjun;YE Yongsheng;WANG Hui;LIU Wanlu(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2018年第3期27-29,共3页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省教育厅高等学校省级质量工程项目(2015mooc053;2015jxtd120;2016jyxm0932;2017jyxm0216;2017jyxm0214;2017kfk042);淮北师范大学教学研究项目(jy2017105;jy2017111;jy2017127)

摘　　要：文章讨论一类Riccati微分方程通解存在的充分必要条件,为求Riccati微分方程的解,提供一种有效方法,并给出它的应用.In this paper,we discuss the necessary and sufficient condition of the general solution to a class of Riccati differential equations.An effective method is provided for the solution of Riccati differential equation and its application is given.

关 键 词：RICCATI微分方程 通解 充要条件 

分 类 号：O175[理学—数学]