Halanay Type Inequalities on Time Scales With Applications
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Date
2011
Authors
Adıvar, Murat
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-Elsevier Science Ltd
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Top 10%
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Top 10%
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.
Description
Keywords
Delay dynamic equation, Dynamic inequality, Global stability, Halanay inequality, Shift operator, Time scales, Global Stability, Equations, Periodicity, Primary 34N05, 34A40, Secondary 34D20, 39A13, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, shift operator, time scales, Halanay inequality, Stability of solutions to ordinary differential equations, global stability, delay dynamic equation, Dynamic equations on time scales or measure chains, Differential inequalities involving functions of a single real variable, dynamic inequality
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q2
OpenCitations Citation Count
24
Source
Nonlınear Analysıs-Theory Methods & Applıcatıons
Volume
74
Issue
18
Start Page
7519
End Page
7531
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Citations
CrossRef : 11
Scopus : 29
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Mendeley Readers : 6
SCOPUS™ Citations
29
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Web of Science™ Citations
30
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3
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