STABILITY ANALYSIS OF CAUSAL INTEGRAL EVOLUTION IMPULSIVE SYSTEMS ON TIME SCALES

作     者：Jiafa XU Bakhtawar PERVAIZ Akbar ZADA Syed Omar SHAH 徐家发;Bakhtawar PERVAIZ;Akbar ZADA;Syed Omar SHAH

作者机构：School of Mathematical SciencesChongqing Normal UniversityChongqing 401331China Department of MathematicsUniversity of PeshawarPeshawar 25000Pakistan Department of Physical and Numerical SciencesQurtuba University of Science and Information Technology PeshawarDera Ismail KhanPakistan 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第3期

页      面：781-800页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Talent Project of Chongqing Normal University(02030307-0040) the China Posdoctoral Science Foundation(2019M652348) Natural Science Foundation of Chongqing(cstc2020jcyj-msxm X0123) Technology Research Foundation of Chongqing Educational Committee(KJQN202000528,KJQN201900539) 

主　　题：Time scale Ulam-Hyers stability impulses semilinear nonautonomous system Gr?nwall’s inequality dynamic system 

摘      要：In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,with the help of a fixed point *** use Gronwall’s inequality on time scales,an abstract Growall’s lemma and a Picard operator as basic tools to develop our main *** overcome some difficulties,we make a variety of *** the end an example is given to demonstrate the validity of our main theoretical results.