Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 153
Study the existence of solutions on a time scale for nonlinear impulsive dynamic equations
Ibtissem Daira
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 21, 2022
March 03, 2140
April 15, 2140

Abstract: Certainly, the Lyapunov direct method has been, for more than 100 years, the main tool for the study of stability properties of ordinary, functional, partial differential and difference equations. Nevertheless, the application of this method to problems of stability in differential and difference equations with delay has encountered serious difficulties if the delay is unbounded or if the equation has unbounded terms. Recently, Burton, Furumochi, Zhang, Raffoul, Islam, Yankson and others have noticed that some of these difficulties vanish or might be overcome by means of fixed point theory ...