Stability of linear dynamic equations on time scales

Sung Kyu Choi; Namjip Koo

doi:10.3934/proc.2009.2009.161

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2009, Volume 2009: 161-170. Doi: 10.3934/proc.2009.2009.161 open access

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Stability of linear dynamic equations on time scales

Sung Kyu Choi^1, and
Namjip Koo^1,

1.
Department of Mathematics, Chungnam National University, Daejeon 305-764

Received: July 2008

Revised: June 2009

Published: September 2009

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Abstract

In this paper we define $u_\infty$-quasisimilarity in order to unify $t_\infty$-quasisimilarity and $n_\infty$-quasisimilarity and then study the stability for solutions of linear dynamic equations on time scales by using the concept of $u_\infty$-quasisimilarity and dynamic inequality.

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Mathematics Subject Classification: Primary: 39A11, 39A13; Secondary: 34D23, 34K20.

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