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Bull. Korean Math. Soc. 2014; 51(4): 1075-1085
Printed July 31, 2014
https://doi.org/10.4134/BKMS.2014.51.4.1075
Copyright © The Korean Mathematical Society.
Asymptotic equivalence between two linear dynamic systems on time scales
Sung Kyu Choi and Namjip Koo
Chungnam National University, Chungnam National University
In this paper we investigate asymptotic properties about asymptotic equilibrium and asymptotic equivalence for linear dynamic systems on time scales by using the notion of $u_\infty$-similarity. Also, we give some examples to illustrate our results.
Keywords: asymptotic equivalence, asymptotic equilibrium, $u_\infty$-similarity, strong stability, linear dynamic systems, time scales
MSC numbers: 34A30, 34D05, 34D10, 34D20, 34N05
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