Asymptotic equivalence between two linear dynamic systems on time scales
Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1075-1085
Printed 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
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