On exponential stability of a linear delay differential equation with an oscillating coefficient

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

New explicit exponential stability conditions are obtained for the nonautonomous linear equation over(x, ̇) (t) + a (t) x (h (t)) = 0, where h (t) ≤ t and a (t) is an oscillating function. We apply the comparison method based on the Bohl-Perron type theorem. Coefficients and delays are not assumed to be continuous. Some real-world applications and several examples are also discussed.

Original languageEnglish
Pages (from-to)1833-1837
Number of pages5
JournalApplied Mathematics Letters
Volume22
Issue number12
DOIs
StatePublished - 1 Dec 2009

Keywords

  • Bohl-Perron type theorem
  • Delay equations
  • Exponential stability
  • Oscillating coefficient

ASJC Scopus subject areas

  • Applied Mathematics

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