Existence and Ulam Stability of Solutions for Conformable Impulsive Differential Equations

被引：8

作者：

Qiu, Wanzheng ^{[1
]}

Wang, JinRong ^{[1
,2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2020年 / 46卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Conformable impulsive differential equations; Existence of solutions; Ulam-Hyers and Ulam-Hyers-Rassias stability; MODELS;

D O I：

10.1007/s41980-019-00347-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we use mathematical induction to derive the representation of the solution of conformable impulsive linear differential equations with constant coefficients. We present the existence of solutions to impulsive nonlinear differential equations with constant coefficients under mild conditions on the nonlinear term. In addition, we consider the concepts of Ulam stability for this type of equation and give Ulam-Hyers and Ulam-Hyers-Rassias stability results. Finally, we give examples to verify our theoretical results.

引用

页码：1613 / 1637

页数：25

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