| 中立型无穷时滞积分微分方程的周期解与稳定性 |
| |
| 引用本文： | 常啸,庄科俊,温朝晖.中立型无穷时滞积分微分方程的周期解与稳定性[J].数学的实践与认识,2009,39(1). |
| |
| 作者姓名： | 常啸 庄科俊 温朝晖 |
| |
| 作者单位： | 1. 安徽财经大学统计与应用数学学院,蚌埠,233030;上海大学系统生物研究所,上海,200444
2. 安徽财经大学统计与应用数学学院,蚌埠,233030 |
| |
| 摘 要： | 考虑了如下中立型周期微分系统ddtx(t)-∫t-∞B(t,s)x(s)ds=A(t,x(t))x(t)+∫t-∞C(t,s)x(s)ds+g(t,x(t-τ))+b(t)的周期解存在性及其稳定性问题,给出其周期解存在的充分条件.
|
| 关 键 词： | 无穷时滞 积分微分方程 周期解 稳定性 |
The Periedis Solution and Statility for an Integral-Differential Equation with Infinite Delay |
| |
| CHANG Xiao,ZHUANG Ke-jun,WEN Zhao-hui.The Periedis Solution and Statility for an Integral-Differential Equation with Infinite Delay[J].Mathematics in Practice and Theory,2009,39(1). |
| |
| Authors: | CHANG Xiao ZHUANG Ke-jun WEN Zhao-hui |
| |
| Abstract: | We considered the following neutral periodic differential system,ddtx(t)-∫t-∞B(t,s)x(s)ds=A(t,x(t))x(t)+∫t-∞C(t,s)x(s)ds+g(t,x(t-τ))+b(t)the existence of periodic solution and stability of this sytem are discussed.We also give the sufficient condition for the existence of periodic solution and some efficient results are obtained. |
| |
| Keywords: | infinite delay integro-differential equations periodic solutions stability |
| 本文献已被 万方数据 等数据库收录！ |
|
