Stability Analysis for Nonlinear Second Order Differential Equations with Impulses

被引：0
|
作者：
Zhu, Zhi-Qiang [1 ]
机构：
[1] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 29期
关键词：
Impulsive equations; Stability; Bernoulli type differential inequality; Bellman's inequality; OSCILLATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the impulsive equation {(r(t)x')' + a(t)x + f(t, x, x') = p(t), t >= t(0), t not equal t(k), x(t(k)) = c(k)x(t(k) - 0), x'(t(k)) = d(k)x'(t(k) - 0), k = 1, 2, 3, ..., and establish a couple of criteria to guarantee the equations of this type to possess the stability, including boundedness and asymptotic properties. Some examples are given to illustrate our results and the last one shows that, to some extent, our criteria have more comprehensive suitability than those given by G. Morosanu and C. Vladimirescu.
引用
收藏
页码：1 / 17
页数：17
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