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 Asymptotic equivalence between two linear dynamic systems on time scales Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1075-1085 https://doi.org/10.4134/BKMS.2014.51.4.1075Printed July 31, 2014 Sung Kyu Choi and Namjip Koo Chungnam National University, Chungnam National University Abstract : 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 Downloads: Full-text PDF