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一类具状态依赖时滞的微分系统解的渐近行为
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SYSTEM OF DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAYS
【摘要】 研究了一类具有状态时滞的微分方程系统解的渐近行为,获得了该系统每一个有界解当t→∞时都趋于常向量,所获得的结果改进和扩展了已有文献的相关结果.
【Abstract】 This paper investigates the asymptotic behavior of solutions to a system of differential equations with state-dependent delay.It is shown that every bounded solution of such a system tends to a constant vector as t→∞.The obtained improve and extend some existing results.
【关键词】 渐近行为;
微分系统;
状态依赖时滞;
ω-极限集;
【Key words】 Asymptotic behavior; differential system; state-dependent delay; ω-limit set;
【Key words】 Asymptotic behavior; differential system; state-dependent delay; ω-limit set;
【基金】 浙江省教育厅科研项目(20070605)资助
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2010年03期
- 【分类号】O241.8
- 【下载频次】110