Preservation of exponential stability for equations with several delays

Leonid Berezansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider preservation of exponential stability for the scalar nonoscillatory linear equation with several delays under the addition of new terms and a delay perturbation. We assume that the original equation has a positive fundamental function; our method is based on Bohl-Perron type theorems. Explicit stability conditions are obtained.

Original languageEnglish
Pages (from-to)135-144
Number of pages10
JournalMathematica Bohemica
Volume136
Issue number2
StatePublished - 23 Jun 2011

Keywords

  • Explicit stability condition
  • Exponential stability
  • Nonoscillation
  • Perturbation

ASJC Scopus subject areas

  • General Mathematics

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