American Institute of Mathematical Sciences

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2007, 2007(Special): 558-567. doi: 10.3934/proc.2007.2007.558

Asymptotic equivalence of dynamic systems on time scales

B. Kaymakcalan 1, , R. Mert 2, and  A. Zafer 2,

1. 

Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460, United States
2. 

Department of Mathematics, Middle East Technical University, Ankara, Turkey, 06531, Turkey, Turkey

Received  September 2006 Revised  May 2007 Published  September 2007

Time scale approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this paper we establish a Levinson type theorem and a Yakubovich type result on asymptotic equivalence of linear dynamic equations and linear and quasilinear dynamic equations, respectively.
Keywords: Linear, Quasilinear, Asymptotic equivalence., Time scale.
Mathematics Subject Classification: 34A3.
Citation: B. Kaymakcalan, R. Mert, A. Zafer. Asymptotic equivalence of dynamic systems on time scales. Conference Publications, 2007, 2007 (Special) : 558-567. doi: 10.3934/proc.2007.2007.558
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