2019
DOI: 10.11121/ijocta.01.2019.00628
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Stability of delay differential equations in the sense of Ulam on unbounded intervals

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.

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Cited by 10 publications
(5 citation statements)
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“…[14,15,16] provided remarkable results in this topic. After these pioneering works, a large number of papers devoted to this subject have been published (see for example [17,18,19,20,21,22,23,24] and references therein).…”
Section: Then For Each Mappingmentioning
confidence: 99%
“…[14,15,16] provided remarkable results in this topic. After these pioneering works, a large number of papers devoted to this subject have been published (see for example [17,18,19,20,21,22,23,24] and references therein).…”
Section: Then For Each Mappingmentioning
confidence: 99%
“…16,17 obtained some remarkable results in this problem. After these inspiring works, a great number of papers devoted to this subject have been published (see, e.g., previous studies [18][19][20][21][22][23][24] and references therein).…”
Section: Introductionmentioning
confidence: 99%
“…Jung used the fixed point approach to prove the stability of ceratin first order differential equations. In Öǧrekçi 31 Y. Başci et.al. studied the stability of some differential equations in the sense of Hyers‐Ulam.…”
Section: Introductionmentioning
confidence: 99%