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Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition

  • Tamaz Tadumadze EMAIL logo
Published/Copyright: April 26, 2011
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Georgian Mathematical Journal
From the journal Volume 18 Issue 2

Abstract

Variation formulas of solution are proved for a non-linear differential equation with constant delay. In this paper, the essential novelty is the effect of delay perturbation in the variation formulas. The continuity of the initial condition means that the values of the initial function and the trajectory always coincide at the initial moment.

Received: 2010-06-14
Published Online: 2011-04-26
Published in Print: 2011-June

© de Gruyter 2011

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