Ulam's type stability of impulsive ordinary differential equations

被引：223
|
作者：
Wang, JinRong [1 ]
Feckan, Michal [2 ,3 ]
Zhou, Yong [4 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia
[3] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia
[4] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 01期
关键词：
Impulsive ordinary differential equations; Ulam's type stability; 1ST-ORDER;
D O I：
10.1016/j.jmaa.2012.05.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：258 / 264
页数：7
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