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Ulam-Hyers stabilities of a differential equation and a weakly singular Volterra integral equationopen access
- Authors
- Ege, Ozgur; Ayadi, Souad; Park, Choonkil
- Issue Date
- Jan-2021
- Publisher
- SPRINGER
- Keywords
- Ulam-Hyers stability; Fixed point; Differential equation; Volterra integral equation
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2021, no.1, pp.1 - 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2021
- Number
- 1
- Start Page
- 1
- End Page
- 12
- ISSN
- 1025-5834
- 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]).
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)