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Asymptotic Behavior of Solutions of Dynamic Equations

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Abstract

We consider linear dynamic systems on time scales, which contain as special cases linear differential systems, difference systems, or other dynamic systems. We give an asymptotic representation for a fundamental solution matrix that reduces the study of systems in the sense of asymptotic behavior to the study of scalar dynamic equations. In order to understand the asymptotic behavior of solutions of scalar linear dynamic equations on time scales, we also investigate the behavior of solutions of the simplest types of such scalar equations, which are natural generalizations of the usual exponential function.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Puget Sound, Tacoma, WA, 98416

    Sigrun Bodine

  2. Dept. of Mathematics, University of Missouri, Rolla, MO, 65401

    Martin Bohner

  3. Dept. of Mathematics, San Diego State University, San Diego, CA, 92182

    Donald Lutz

Authors
  1. Sigrun Bodine
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  2. Martin Bohner
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  3. Donald Lutz
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Bodine, S., Bohner, M. & Lutz, D. Asymptotic Behavior of Solutions of Dynamic Equations. Journal of Mathematical Sciences 124, 5110–5118 (2004). https://doi.org/10.1023/B:JOTH.0000047248.75560.f7

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  • DOI: https://doi.org/10.1023/B:JOTH.0000047248.75560.f7

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