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脉冲Logistic时滞微分方程的全局吸引性
Global Attractivity of Logistic Delay Differential Equation under Impulsive Perturbations
【摘要】 研究脉冲时滞Logistic方程x′(t) =p(t) ( 1 -ex(t-τ) ) ,t≥ 0 ,t≠tk,x(t+ k) -x(tk) =bkx(tk) ,k∈N 的全局吸引性 ,获得了方程每一解N(t)趋于 0的充分条件 .
【Abstract】 Considering the global attractivity of Logistic delay differential equation under impulsive perturbations x′(t)=p(t)(1-e x(t-τ) ),t≥0,t≠t k, x(t + k)-x(t k).=b kx(t k),k∈N.This paper intends to obtain some sufficient conditions that guarantee every solution of the equation to tent to zero.
【关键词】 脉冲;
时滞微分方程;
全局吸引性;
充分条件;
【Key words】 impulsive perturbations; delay differential equation; global attractivity; sufficient condition;
【Key words】 impulsive perturbations; delay differential equation; global attractivity; sufficient condition;
- 【文献出处】 甘肃教育学院学报(自然科学版) ,Journal of Gansu Education College(Natural Science Edition) , 编辑部邮箱 ,2002年02期
- 【分类号】O175
- 【下载频次】33