Ulam–Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
Makaleler > Tam Makale · 2021
Yazarlar: Özgür EGE, Souad Ayadi, Choonkil Park
Journal of Inequalities and Applications, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2021, cilt 2021, ss 1-12
DOI: 10.1186/s13660-020-02529-z
Özet
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 singular Volterra integral equation using the Banach contraction principle in the space of continuous functions $C([a,b])$ C ( [ a , b ] ) .