A Note on Stability and Periodicity in Dynamic Delay Equations [comput. Math. Appl. 58 (2009) 264-273]
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Date
2010
Authors
Adıvar, Murat
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Pergamon-Elsevier Science Ltd
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HYBRID
Green Open Access
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Abstract
The purpose of this note is twofold: First we highlight the importance of an implicit assumption in [Murat Adivar, Youssef N. Raffoul, Stability and periodicity in dynamic delay equations, Computers and Mathematics with Applications 58 (2009) 264-272]. Second we emphasize one consequence of the bijectivity assumption which enables ruling out the commutativity condition delta circle sigma = sigma circle delta on the delay function. (C) 2010 Elsevier Ltd. All rights reserved.
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Keywords
Delay dynamic equations, Delay function, Lyapunov, Periodic solutions, Stability, Time scales, Computational Mathematics, Computational Theory and Mathematics, Delay function, Periodic solutions, Modelling and Simulation, Lyapunov, Time scales, Stability, Delay dynamic equations, delay dynamic equations, Stability theory of functional-differential equations, Applications of operator theory to differential and integral equations, time scales, periodic solutions, stability, delay function, 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
8
Source
Computers & Mathematıcs Wıth Applıcatıons
Volume
59
Issue
10
Start Page
3351
End Page
3354
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CrossRef : 4
Scopus : 8
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