Stability and Periodicity in Dynamic Delay Equations
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Date
2009
Authors
Adıvar, Murat
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-Elsevier Science Ltd
Open Access Color
HYBRID
Green Open Access
No
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Abstract
Let T be an arbitrary time scale that is unbounded above. By means of a variation of Lyapunov's method and contraction mapping principle this paper handles asymptotic stability of the zero solution of the completely delayed dynamic equations x(Delta)(t) = -a(t)x(delta(t))delta(Delta)d(t). Moreover, if T is a periodic time scale, then necessary conditions are given for the existence of a unique periodic solution of the above mentioned equation. (c) 2009 Elsevier Ltd. All rights reserved.
Description
ORCID
Keywords
Delay dynamic equations, Fixed point theory, Lyapunov, Periodic solutions, Stability, Time scales, Computational Mathematics, Computational Theory and Mathematics, Periodic solutions, Modelling and Simulation, Lyapunov, Fixed point theory, Time scales, Stability, Delay dynamic equations, delay dynamic equations, Stability theory of functional-differential equations, Applications of operator theory to differential and integral equations, fixed point theory, time scales, periodic solutions, stability, Periodic solutions to functional-differential equations, Dynamic equations on time scales or measure chains
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
23
Source
Computers & Mathematıcs Wıth Applıcatıons
Volume
58
Issue
2
Start Page
264
End Page
272
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Citations
CrossRef : 8
Scopus : 28
SCOPUS™ Citations
28
checked on Feb 13, 2026
Web of Science™ Citations
21
checked on Feb 13, 2026
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1
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