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一类具有脉冲的非线性时滞微分方程解的渐进性
Asymptotic Behavior of Solutions of Nonlinear Delay Differential Equations with Impulse
【摘要】 研究了一类具有脉冲的二阶非线性时滞微分方程(r(t)x′(t))′-p(t)x′(t)+sum from i=1 to n qi(t)x(t-σ_i+f(t)=0,t≠t_k,x(t_k~+)-x(t_k)=a_kx(t_k),x′(t_k~+)-x′(t_k)=b_kx′(t_k),k∈Z~+的解的渐近性,并得到了一系列相关的充分条件.
【Abstract】 This paper studies the asymptotic behavior of solutions of the seond-order non- linear delay differential equations with impulses (r(t)x′(t))′-p(t)x′(t)+sum from i=1 to n qi(t)x(t-σ_i+f(t)=0,t≠t_k,x(t_k~+)-x(t_k)=a_kx(t_k),x′(t_k~+)-x′(t_k)=b_kx′(t_k),k∈Z~+ and some sufficient conditions are obtained.
【关键词】 渐近性;
二阶非线性时滞微分方程;
脉冲;
【Key words】 asymptotic behavior; second-order nonlinear delay differential equations; impulses;
【Key words】 asymptotic behavior; second-order nonlinear delay differential equations; impulses;
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2008年03期
- 【分类号】O175.7
- 【被引频次】2
- 【下载频次】123