AccScience Publishing / IJOCTA / Volume 9 / Issue 2 / DOI: 10.11121/ijocta.01.2019.00628
RESEARCH ARTICLE

Stability of delay differential equations in the sense of Ulam on unbounded intervals

S¨uleyman O˘grek¸ci1*
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1 Department of Mathematics, Faculty of Arts and Science, Amasya University, Amasya, Turkey
IJOCTA 2019, 9(2), 125–131; https://doi.org/10.11121/ijocta.01.2019.00628
Submitted: 28 June 2018 | Accepted: 1 November 2018 | Published: 13 March 2019
© 2019 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract
In this paper, we consider the stability problem of delay differential equations in the sense of Hyers-Ulam-Rassias. Recently this problem has been solved for bounded intervals, our result extends and improve the literature by obtaining stability in unbounded intervals. An illustrative example is also given to compare these results and visualize the improvement.
Keywords
Delay Differential equations
Stability theory
Generalized metric spaces
Conflict of interest
The authors declare they have no competing interests.
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