Ulam–Hyers stability; Fixed point; Differential equation; Volterra integral equation
Issue Date
2021-01
Publisher
SPRINGER
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, v. 2021, no. 1, article no. 19, page. 1-12
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 parallel to.parallel to(infinity). Moreover, we get some results on the Ulam-Hyers stability of a weakly singular Volterra integral equation using the Banach contraction principle in the space of continuous functions C([a,b]).