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A Branching Method for Studying Stability of a Solution to a Delay Differential Equation

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Abstract

We study stability of antisymmetric periodic solutions to delay differential equations. We introduce a one-parameter family of periodic solutions to a special system of ordinary differential equations with a variable period. Conditions for stability of an antisymmetric periodic solution to a delay differential equation are stated in terms of this period function.

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Authors and Affiliations

  1. Ural State University, Ekaterinburg, Russia

    Yu. F. Dolgii & S. N. Nidchenko

Authors
  1. Yu. F. Dolgii
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  2. S. N. Nidchenko
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Additional information

Original Russian Text Copyright © 2005 Dolgii Yu. F. and Nidchenko S. N.

The authors were supported by the RAS Program “Mathematical Methods in Nonlinear Dynamics” (Grant 15).

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 1288–1301, November–December, 2005.

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Dolgii, Y.F., Nidchenko, S.N. A Branching Method for Studying Stability of a Solution to a Delay Differential Equation. Sib Math J 46, 1039–1049 (2005). https://doi.org/10.1007/s11202-005-0098-7

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  • DOI: https://doi.org/10.1007/s11202-005-0098-7

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