Linearized stability in periodic functional differential equations with state-dependent delays

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Abstract

In this paper, we study stability of periodic solutions of a class of nonlinear functional differential equations (FDEs) with state-dependent delays using the method of linearization. We show that a periodic solution of the nonlinear FDE is exponentially stable, if the zero solution of an associated linear periodic linear homogeneous FDE is exponentially stable.

Original languageEnglish
Pages (from-to)201-211
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume174
Issue number2
DOIs
Publication statusPublished - Feb 15 2005

Keywords

  • Linearization
  • Periodic solution
  • Stability
  • State-dependent delay

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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