Existence and Ulam-type stability for impulsive oscillating systems with pure delay

被引：1
作者：
Pu, Wenpeng [1 ]
Li, Mengmeng [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 18期
基金：
中国国家自然科学基金;
关键词：
existence of solution; impulsive delayed oscillating system; impulsive delayed vector function; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; DIFFERENTIAL-EQUATIONS; REPRESENTATION;
D O I：
10.1002/mma.9606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce the new concept of an impulsive delayed vector function, which helps us to build the representation of an exact solution for the linear impulsive oscillating differential delay systems (IODDSs). Second, we derive some sufficient conditions to guarantee the existence and uniqueness of solution by Schauder's and Banach's fixed point theorems for a new class of nonlinear IODDSs. Finally, we obtain the Ulam-Hyers stability (UHs) and Ulam-Hyers-Rassias stability (UHRs) for nonlinear IODDSs, and two examples are presented to illustrate the main results of our study.
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收藏
页码：19018 / 19034
页数：17
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