On nonoscillation of systems of delay equations

L. Berezansky, E. Braverman, A. Domoshnitsky

Research output: Contribution to journalArticlepeer-review


The paper investigates nonnegativity of all entries of the fundamental matrix for the system of linear delay differential equations in the case when the non-diagonal entries of matrices Ak are nonpositive. The results are applied to study nonoscillation of high order differential equations, as well as exponential stability for systems of delay equations.

Original languageEnglish
Pages (from-to)275-296
Number of pages22
JournalFunkcialaj Ekvacioj
Issue number2
StatePublished - 11 Aug 2011


  • Exponential stability
  • High order delay equations
  • Nonnegative fundamental matrix
  • Nonoscillation
  • Systems of delay equations

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


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