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Advances in Continuous and Discrete Models

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Exponential stability of dynamic equations on time scales

Advances in Difference Equations volume 2005, Article number: 858671 (2005) Cite this article

Abstract

We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given.

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Authors and Affiliations

  1. Department of Mathematics, College of Arts and Sciences, University of Nebraska–Lincoln, Lincoln, NE, 68588-0130, USA

    Allan C Peterson

  2. Department of Mathematics, College of Arts and Sciences, University of Dayton, Dayton, OH, 45469-2316, USA

    Youssef N Raffoul

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  1. Allan C Peterson
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  2. Youssef N Raffoul
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Correspondence to Allan C Peterson.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Peterson, A.C., Raffoul, Y.N. Exponential stability of dynamic equations on time scales. Adv Differ Equ 2005, 858671 (2005). https://doi.org/10.1155/ADE.2005.133

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  • DOI: https://doi.org/10.1155/ADE.2005.133