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  • Research Article
  • Open Access

Delay dynamic equations with stability

  • 1Email author,
  • 2 and
  • 3
Advances in Difference Equations20062006:094051

  • Received: 13 August 2005
  • Accepted: 23 October 2005
  • Published:


We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of a nonlinear delay dynamic equation is asymptotically stable, for arbitrary time scales.


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation


Authors’ Affiliations

Department of Mathematics, Concordia College, Moorhead, MN 56562, USA
Department of Mathematics, Concordia University, St. Paul, 55104, USA
Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA


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© Douglas R. Anderson et al. 2006

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