STABILITY FOR CONFORMABLE IMPULSIVE DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Ding, Yuanlin [1 ]
Feckan, Michal [2 ,3 ]
Wang, Jinrong [4 ,5 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava 84248, Slovakia
[3] Slovak Acad Sci, Math Inst, STefanikova 49, Bratislava 81473, Slovakia
[4] Renmin Univ China, Sch Math, Beijing 100872, Peoples R China
[5] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
基金：
中国国家自然科学基金;
关键词：
Conformable derivative; impulsive differential equation; asymptotic stability; generalized Ulam-Hyers-Rassias stability; CONTROLLABILITY; SYSTEMS; MODELS;
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 article, we study impulsive differential equations with conformable derivatives. Firstly, we derive suitable formulas for solving linear impulsive conformable Cauchy problems. Then, we show that the linear problem has asymptotic stability, and the nonlinear problem has generalized Ulam-Hyers-Rassias stability. Also we illustrate our results with examples.
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页数：19
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