Stability analysis of first-order impulsive nonautonomous system on timescales

被引：16

作者：

Zada, Akbar ^{[1
]}

Pervaiz, Bakhtawar ^{[1
]}

Shah, Syed Omar ^{[2
]}

Xu, Jiafa ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[2] Qurtuba Univ Sci & Informat Technol Peshawar, Dept Phys & Numer Sci, Dera Ismail Khan, Pakistan

[3] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Banach fixed point theorem; dynamic system; impulses; timescale; semilinear nonautonomous system; beta-Ulam-Hyers stability; NONLINEAR DIFFERENTIAL-EQUATIONS; HYERS-ULAM STABILITY; DYNAMIC-SYSTEMS; TIME; DELAY;

D O I：

10.1002/mma.6253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we present the existence, uniqueness, beta-Ulam-Hyers stability, and beta-Ulam-Hyers-Rassias stability of semilinear nonautonomous impulsive dynamic systems on timescales, with the help of fixed point approach. We use Gronwall inequality on timescale, abstract Growall lemma, and Picard operator as basic tools to develop our main results. At the end, an example is given to demonstrate the validity of our main theoretical result.

引用

页码：5097 / 5113

页数：17

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