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 Gronwall’s inequality on time scales,an abstract Growall’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.
作者
徐家发
Bakhtawar PERVAIZ
Akbar ZADA
Syed Omar SHAH
Jiafa XU;Bakhtawar PERVAIZ;Akbar ZADA;Syed Omar SHAH(School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China;Department of Mathematics,University of Peshawar,Peshawar 25000,Pakistan;Department of Physical and Numerical Sciences,Qurtuba University of Science and Information Technology Peshawar,Dera Ismail Khan,Pakistan)
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)。
