一类Riccati型方程周期解的存在性  

On existence of periodic solutions of a class of riccati-type equations

作　　者：余国栋[1] 

机构地区：[1]贵州教育学院数学系,贵州贵阳550003

出　　处：《贵州教育学院学报》2002年第2期1-3,共3页Journal of Guizhou Educational College(Social Science Edition)

摘　　要：给出周期系数 Riccati型方程 dxdt=A(t) x2 m -1 + B(t) x2 k-1 + C(t) (其中 ,A(t) ,B(t) ,C(t)是周期为 T的连续函数 ,m,k∈ N,m>k)In this paper, the Riccati type equations with periodic coefficients. d x d t=A(t)x 2m-1 +B(t)x 2k-1 +C(t) (where A(t), B(t), C(t) are continous functions with period T ) are discussed, and sufficient conditions for the existence of periodic solutions are given.

关 键 词：RICCATI型方程 周期解 不动点定理 周期系数 

分 类 号：O177.91[理学—数学]