一类具脉冲的时滞泛函微分方程的全局吸引性  

Global attractivity of a class of delay differential equations with impulsives and its applications

作　　者：刘兴元[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422000

出　　处：《邵阳学院学报（自然科学版）》2007年第2期6-9,共4页Journal of Shaoyang University：Natural Science Edition

摘　　要：考虑具有脉冲的时滞泛函微分方程其中a(t),p(t)∈C([0,+∞),[0,+∞)),τ>0,b_k>-1,k∈N获得了方程每一解x(t)满足的充分条件,将结果应用于脉冲方程及脉冲的红血球生长模型,所得结果是新的.We study the global attractivity of a class of delay differential equations with impulsives { x＇（t）＋a（t）x（t）=p（t）（I-e^x（t-t））,t≥0,t≠tk, x（t k^＋）-x（tk）=bk x（tk）,k∈N where bk〉-1 for all k∈N,τ〉0,a（t）,p（t）∈C（[0,＋∞）,[0,＋∞））,Some sufficient conditions are obtained that guarantee every solution of the equation converging to zero.When applying the main results to the logistic equation with impulsives and impulsive red-blood cells growth model our results are new.

关 键 词：时滞微分方程 脉冲 全局吸引性 红血球生长模型 

分 类 号：O175[理学—数学]