W-transform for exponential stability of second order delay differential equations without damping terms

Alexander Domoshnitsky, Abraham Maghakyan, Leonid Berezansky

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper a method for studying stability of the equation x″(t)+∑i=1mai(t)x(t−τi(t))=0 not including explicitly the first derivative is proposed. We demonstrate that although the corresponding ordinary differential equation x″(t)+∑i=1mai(t)x(t)=0 is not exponentially stable, the delay equation can be exponentially stable.

Original languageEnglish
Article number20
JournalJournal of Inequalities and Applications
Volume2017
Issue number1
DOIs
StatePublished - 1 Dec 2017

Keywords

  • W-method
  • exponential stability
  • second order delay differential equations

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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