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A classification of time scales and analysis of the general delays on time scales with applications
Author(s) -
Wang Chao,
Agarwal Ravi P.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3590
Subject(s) - mathematics , class (philosophy) , scale (ratio) , econometrics , artificial intelligence , computer science , cartography , geography
In this paper, we present five classes/categories of time scales. Then, on each class, we introduce and analyze delays that not only lead to new types of delay systems on time scales but also reveal the limitations of the known results in the literature. To show the importance and significance of our analysis, several examples are illustrated. We conclude our paper with some interesting open problems. Copyright © 2015 John Wiley & Sons, Ltd.