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.
出处
《湖南理工学院学报(自然科学版)》
CAS
2003年第3期7-10,16,共5页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
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
impulsive perturbations
delay differential equation
global attractivity
sufficient condition