一类特型Riccati微分方程有解的充要条件及应用  

Sufficient and Necessary Conditions for Solutions of a Class of Special Riccati Differential Equations and Their Applications

作　　者：王明建 温少挺 WANG Ming-jian;WEN Shao-ting(Department of Basic Education,Huanghe Jiaotong University,Jiaozuo 454950,China)

机构地区：[1]黄河交通学院基础教学部

出　　处：《西安文理学院学报（自然科学版）》2019年第6期1-3,共3页Journal of Xi’an University(Natural Science Edition)

基　　金：国家自然科学基金项目(11161018)

摘　　要：利用初等方法讨论了一类特型Riccati微分方程,找到了它有解的充要条件,通过解变系数非齐次微分方程组,得到Riccati微分方程的通解,并给出相应的应用.A class of special Riccati differential equation is discussed by elementary method. The necessary and sufficient conditions for its solution are found. By solving the non-homogeneous differential equations with variable coefficients, the general solution of Riccati differential equation is obtained and its application is given.

关 键 词：RICCATI微分方程 充要条件 变系数非齐次微分方程组 通解 应用 

分 类 号：O175.1[理学—数学]