Opuscula Math. 26, no. 3 (2006), 421-429

Opuscula Mathematica

The asymptotic properties of the dynamic equation with a delayed argument

Jan Čermák
Miroslav Urbánek

Abstract. In this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamic case.

Keywords: dynamic equation, time scale, asymptotic behavior.

Mathematics Subject Classification: 34K25, 39A10, 39A11, 39B22.

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  • Jan Čermák
  • Miroslav Urbánek
  • Brno University of Technology, Faculty of Mechanical Engineering, Department of Mathematics, Technická 2, 616 69 Brno, Czech Republic
  • Received: 2005-10-03.
Opuscula Mathematica - cover

Cite this article as:
Jan Čermák, Miroslav Urbánek, The asymptotic properties of the dynamic equation with a delayed argument, Opuscula Math. 26, no. 3 (2006), 421-429

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