You Position: Home > Paper
The Periodic Solutions and Global Attraction of an Infinite Delay Differential Equation
( views:101, downloads:0 )
- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 2
- DOI:
- 10.3969/j.issn.1001-9626.2007.02.005
- Key Word:
- 周期解;重合度;无限时滞;全局吸引性;BC空间
Abstract： 考虑如下具有无穷时滞的微分系统: x'(t)=A(t,x(t))x(t)+∫0 -∞f(t,s,x(s+t))ds+p∑i=1 fi(t,x(t-τi(t)))的周期解.利用重合度理论和构造适当的Lyapunov泛函得到上述系统周期解存在性和全局吸引性的充分条件,推广了已有的结论,得到了新的结果.
- [1]彭世国,谢湘生.具有分布滞量的微分系统的周期解和全局吸引性[J].2001,(4).
- [2]WANG Ke,FAN Meng.Positive Periodic Solutions of Predator-Prey Systems with Infinite Delay[J].2000,(1).
- [3]陈凤德,陈晓星,林发兴,等.一类时滞微分系统的周期解和全局吸引性[J].2005,(1).
- [4]王克,黄启昌.H有界与具无限时滞的泛函微分方程的周期解[J].1986,(15).
- [5]黄启昌.具无限时滞的泛函微分方程的周期解的存在性[J].1984,(10).
- [6]王克.无限时滞泛函微分方程周期解的存在性[J].1987,(4).