STABILITY OF NONAUTONOMOUS IMPULSIVE EVOLUTION SYSTEM ON TIME SCALE

被引：0
|
作者：
Zada, Akbar [1 ]
Arafat, Yasir [1 ]
Shah, Syed Omar [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Qurtuba Univ Sci & Informat Technol, Dept Phys & Numer Sci, Peshawar 25000, Pakistan
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2021年 / 13卷 / 04期
关键词：
Stability; time scale; fixed point; impulses; dynamic system; HYERS-ULAM STABILITY; NONLINEAR DIFFERENTIAL-EQUATIONS; DYNAMIC-SYSTEMS;
D O I：
10.7153/dea-2021-13-20
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main theme of this article is to discuss the existence, uniqueness and beta -Ulam type stability for nonautonamous impulsive differential systems on time scale by applying fixed point method. The major components to proof the results are the Gronwall inequality on time scale, abstract Gronwall lemma and Picard operator. Some suppositions are made for achieving our results. At last, the main result is validated by the example specified in this paper.
引用
收藏
页码：355 / 371
页数：17
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