一类脉冲时滞微分方程的全局吸引性  

Global Attractivity of a class of Delay Differential Equation under Impulsive Peturbations

作　　者：李迈龙[1] 

机构地区：[1]湖南理工学院数学系,湖南岳阳414000

出　　处：《湖南理工学院学报（自然科学版）》2003年第3期7-10,16,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：考虑脉冲时滞微分方程 x’(t)=p(t)(1-e^(x(t-τ)),t≥0,t≠t_k,(1) x(t_k^+)-x(t_k)=b_kx(t_k),k∈N 的全局吸引性,获得了保证方程每一解趋于0的充分条件。其中τ>0,b_k>-1,P(t)是非负、分段连 续函数。Consider impulsive delay differential equation Where , P(t) is nonnegative and is piecewise continuous. We obtain some sufficient conditions that guaratee every solution of equation to tend to zero.

关 键 词：脉冲时滞微分方程 全局吸引性 正解 振动解 常微分方程 

分 类 号：O175.7[理学—数学]