Armenian Journal of Mathematics, 13(8)
2021; 1–21
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Existence and Ulam stability of solution for some backward impulsive differential equations on Banach spaces

Abdelouahab Mahmoudi*, Arezki Kessi

Received: 2024-12-07 · Published: 2021-11-04

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Existence and Ulam stability of solution for some backward impulsive differential equations on Banach spaces
Authors
Abdelouahab Mahmoudi, Arezki Kessi
Source journal
Armenian Journal of Mathematics, 13(8)
Published
2021-11-04
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2021.13.8-1-21

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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