Ulam's type stability of impulsive ordinary differential equations
Ulam's type stability of impulsive ordinary differential equations
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脉冲常微分方程的 Ulam 型稳定性
DOI：
10.1016/j.jmaa.2012.05.040
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发表时间：
2012-11-01
影响因子：
1.3
通讯作者：
Zhou, Yong
中科院分区：
文献类型：
--
作者：
Wang, JinRong;Feckan, Michal;Zhou, Yong
本文引入了脉冲常微分方程的四个Ulam型稳定性概念。利用分段连续函数的Gronwall型积分不等式，得到了脉冲常微分方程的Ulam型稳定性结果。最后给出了一个例子来说明我们的结果。(C) 2012爱思唯尔公司版权所有。
In this paper, we introduce four Ulam's type stability concepts for impulsive ordinary differential equations. By applying the integral inequality of Gronwall type for piecewise continuous functions, Ulam's type stability results for impulsive ordinary differential equations are obtained. An example is also provided to illustrate our results. (C) 2012 Elsevier Inc. All rights reserved.