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

Abdelouahab Mahmoudi

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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

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