| 一类含混合常数变元脉冲微分系统解的振动性 |
| |
| 引用本文： | 李晓迪. 一类含混合常数变元脉冲微分系统解的振动性[J]. 应用数学, 2008, 21(2): 404-410 |
| |
| 作者姓名： | 李晓迪 |
| |
| 作者单位： | 山东师范大学数学科学学院,山东,济南,250014 |
| |
| 摘 要： | 考虑下列二阶脉冲微分系统解的振动性{(r(t))(x′(t)σ)′ a(t)(x([t]))δ e(t)sgn x(t)=0,t≠n,t≥0,n∈Z ,x(n)=gn(x(n-)),x′(n)=hn(x′(n-)),t=n,n=1,2,…,其中s,d是任意给定的正奇数的商.借助脉冲微分不等式得到了保证上述系统所有有界解振动的若干充分条件,并给出例子说明定理的应用.
|
| 关 键 词： | 振动性 脉冲微分系统 混合变元 固定时刻 Oscillation Impulsive differential equations Mixed type Fixed times 混合 常数 变元 脉冲 微分系统 解的振动性 Constant Type Mixed Differential Equations Impulsive Kind examples results sufficient conditions bounded solutions above oscillatory quotient positive |
| 文章编号： | 1001-9847(2008)02-0404-07 |
| 修稿时间： | 2007-09-29 |
Oscillation of a Kind of Impulsive Differential Equations of Mixed Type with Constant Argument |
| |
| LI Xiao-di. Oscillation of a Kind of Impulsive Differential Equations of Mixed Type with Constant Argument[J]. Mathematica Applicata, 2008, 21(2): 404-410 |
| |
| Authors: | LI Xiao-di |
| |
| Abstract: | Consider the second order impulsive differential equation{(r(t)(x′(t))σ)′+a(t)(x([t]))δ+e(t)sgn x(t)=0,t≠n,t≥0,n∈Z+,x(n)=gn(x(n-)),x′(n)=hn(x′(n-)),t=n,n=1,2,…,where σ,δ are any given quotient of positive odd integers.Some sufficient conditions for all bounded solutions of above impulsive differential equation to be oscillatory are obtained.Finally examples are given to illustrate our results. |
| |
| Keywords: | Oscillation Impulsive differential equations Mixed type Fixed times |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
