Asymptotic equivalence of dynamic systems on time scales

B. Kaymakcalan; R. Mert; A. Zafer

doi:10.3934/proc.2007.2007.558

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2007, Volume 2007: 558-567. Doi: 10.3934/proc.2007.2007.558 open access

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Asymptotic equivalence of dynamic systems on time scales

1.
Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460
2.
Department of Mathematics, Middle East Technical University, Ankara, Turkey, 06531

Received: August 31, 2006

Revised: April 30, 2007

Published: August 2007

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Abstract

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.

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Mathematics Subject Classification: 34A30.

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