节点文献
一类具周期系数的Riccati型方程的周期解
Existence of Periodic Solutions of a Class of Riccati-type Equations with Periodic Coefficients
【摘要】 给出 Riccati型方程x=A( t) x2 m+B( t) x2 k- 1 +C( t)( A( t) ,B( t) ,C( t)是周期为 T的连续函数 ,m,k∈ N且 m≥ k)无周期解及存在周期解的充分条件 .
【Abstract】 In the paper, a class of Riccati type equations with periodic coefficients: =A(t)x 2m +B(t)x 2k-1 +C(t) (where, A(t),B(t),C(t) are continous functions with periodic T,m,k∈ N and m≥k ) is discussed, sufficient conditions for existence of periodic solutions are given.
【关键词】 周期系数Riccati型方程;
周期解;
不动点定理;
【Key words】 Riccati type equation with periodic coefficients; periodic solution; fixed point theorem;
【Key words】 Riccati type equation with periodic coefficients; periodic solution; fixed point theorem;
【基金】 贵州教育学院科研基金
- 【文献出处】 工科数学 ,JOURNAL OF MATHEMATICS FOR TECHNOLOGY , 编辑部邮箱 ,2000年03期
- 【分类号】O174
- 【被引频次】1
- 【下载频次】42