| 一类具周期系数的Riccati型方程的周期解 |
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| 引用本文： | 余国栋.一类具周期系数的Riccati型方程的周期解[J].大学数学,2000(3). |
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| 作者姓名： | 余国栋 |
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| 作者单位： | 贵州教育学院!贵阳550003 |
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| 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 .
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| 关 键 词： | 周期系数Riccati型方程 周期解 不动点定理 |
Existence of Periodic Solutions of a Class of Riccati-type Equations with Periodic Coefficients |
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| YU Guo,dong.Existence of Periodic Solutions of a Class of Riccati-type Equations with Periodic Coefficients[J].College Mathematics,2000(3). |
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| Authors: | YU Guo dong |
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| 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. |
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| Keywords: | Riccati type equation with periodic coefficients periodic solution fixed point theorem |
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