Existence and Ulam stability of solution for some backward impulsive differential equations on Banach spaces

Abdelouahab Mahmoudi; Arezki Kessi

doi:10.52737/18291163-2021.13.8-1-21

Authors

Abdelouahab Mahmoudi USTHB-University
Arezki Kessi USTHB-University

DOI:

https://doi.org/10.52737/18291163-2021.13.8-1-21

Keywords:

Backward impulsive differential equations, fixed point, Ulam stability

Abstract

In this paper, we study the existence and the Ulam stability of a solution to nonlinear backward impulsive differential equations with local or nonlocal conditions in Banach spaces. Using well-known classical fixed point theorems, we prove the existence of a solution. Subsequently, we prove the generalized Ulam--Hyers--Rassias stability of the solution to the problem. The obtained results are illustrated by some examples.

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