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

  • Ege, Ozgur
  • Ayadi, Souad
  • Park, Choonkil
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초록

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]).

키워드

Ulam-Hyers stabilityFixed pointDifferential equationVolterra integral equation
제목
Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equation
저자
Ege, OzgurAyadi, SouadPark, Choonkil
DOI
10.1186/s13660-020-02529-z
발행일
2021-01
유형
Article
저널명
Journal of Inequalities and Applications
2021
1
페이지
1 ~ 12

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