On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations
Joint Authors
Faisal, Shah
Zada, Akbar
Li, Yongjin
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper proves the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of nonlinear first-order ordinary differential equation with single constant delay and finite impulses on a compact interval.
Our approach uses abstract Gronwall lemma together with integral inequality of Gronwall type for piecewise continuous functions.
American Psychological Association (APA)
Zada, Akbar& Faisal, Shah& Li, Yongjin. 2016. On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1108653
Modern Language Association (MLA)
Zada, Akbar…[et al.]. On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations. Journal of Function Spaces No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1108653
American Medical Association (AMA)
Zada, Akbar& Faisal, Shah& Li, Yongjin. On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1108653
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108653
