Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14365/1343
Title: | Halanay Type Inequalities on Time Scales With Applications | Authors: | Adıvar, Murat Bohner, Elvan Akin |
Keywords: | Delay dynamic equation Dynamic inequality Global stability Halanay inequality Shift operator Time scales Global Stability Equations Periodicity |
Publisher: | Pergamon-Elsevier Science Ltd | Abstract: | This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that besides generalization and extension to q-difference case, our results also provide improvements for the existing theory regarding differential and difference inequalities, which are the most important particular cases of dynamic inequalities on time scales. (C) 2011 Elsevier Ltd. All rights reserved. | URI: | https://doi.org/10.1016/j.na.2011.08.007 https://hdl.handle.net/20.500.14365/1343 |
ISSN: | 0362-546X 1873-5215 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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