STABILITY ANALYSIS OF CAUSAL INTEGRAL EVOLUTION IMPULSIVE SYSTEMS ON TIME SCALES

• 作者: Jiafa XU Bakhtawar PERVAIZ Akbar ZADA Syed Omar SHAH
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 781-800
• 页数: 20页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.010

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 approach.We use Gr?nwall's inequality on time scales,an abstract Gr?wall's lemma and a Picard operator as basic tools to develop our main results.To overcome some difficulties,we make a variety of assumptions.At the end an example is given to demonstrate the validity of our main theoretical results.