Ulam–Hyers stabilities of a differential equation and a weakly singular Volterra integral equation

Abstract In this work we study the Ulam–Hyers stability of a differential equation. Its proof is based on the Banach fixed point theorem in some space of continuous functions equipped with the norm ∥ ⋅ ∥ ∞ $\|\cdot \|_{\infty }$ . Moreover, we get some results on the Ulam–Hyers stability of a weakly...

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Bibliographic Details
Main Authors: Ozgur Ege, Souad Ayadi, Choonkil Park
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-020-02529-z