Absolute stability in delay equations

Fred Brauer

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


An equilibrium of a delay equation is said to be absolutely stable if it is asymptotically stable for all delays. This is equivalent to a certain characteristic equation's having all its roots in the left half-plane for all delays. We obtain a simple necessary and sufficient condition for absolute stability of a class of delay equations.

Original languageEnglish (US)
Pages (from-to)185-191
Number of pages7
JournalJournal of Differential Equations
Issue number2
StatePublished - Sep 15 1987

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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