一类时滞微分系统有界解的收敛性  

Asymptotic Behavior of Bounded Solutions for a Class of Delay Differential Systems

作　　者：黄立宏[1] 韦志坚[1] 易泰山[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2005年第6期116-117,共2页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10371034)

摘　　要：研究了一类时滞微分系统解的渐近性态.在一些比已有文献通常附加的局部李普希兹条件更弱的条件下,证明了此系统的每个有界解趋于某平衡态.我们的结果推广了已有的一些结论.The asymptotic behavior of solutions for a class of delay differential systems was studied. Under certain conditions weaker than the locally Lipschitz condition freuently used in the literature, we showed that each bounded solution of such systems had a tendency of equilibrium. Our results have extended a number of existing conclusions.

关 键 词：时滞微分系统 有界解 渐近性态 平衡态 

分 类 号：O175.12[理学—数学]