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

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
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Received: 2005-10-03.
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Jan Čermák, Miroslav Urbánek, The asymptotic properties of the dynamic equation with a delayed argument, Opuscula Math. 26, no. 3 (2006), 421-429, http://dx.doi.org/10.7494/OpMath.2006.26.3.421.
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