A class of impulsive nonautonomous differential equations and Ulam-Hyers-Rassias stability

被引：27
作者：
Wang, JinRong [1 ,2 ,3 ]
Lin, Zeng [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Key & Special Lab Syst Optimizat & Sci Comp Guizh, Guiyang 550025, Guizhou, Peoples R China
[3] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 05期
基金：
中国国家自然科学基金;
关键词：
impulsive; nonautonomous differential equations; existence; Ulam-Hyers-Rassias stability; EXISTENCE;
D O I：
10.1002/mma.3113
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a model described by a class of impulsive nonautonomous differential equations. This new impulsive model is more suitable to show dynamics of evolution processes in pharmacotherapy than the classical one. We apply Krasnoselskii's fixed point theorem to obtain existence of solutions. Meanwhile, we mainly present the sufficient conditions on Ulam-Hyers-Rassias stability on both compact and unbounded intervals. Many analysis techniques are used to derive our results. Copyright (c) 2014 John Wiley & Sons, Ltd.
引用
收藏
页码：868 / 880
页数：13
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