Oscillation criteria for a linear neutral differential equation

Leonid Berenzansky, Elena Braverman

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

For a neutral differential equation ̇x(t) - a(t)x(g(t)) + b(t)x(h(t)) =0, 0 ≤a(t) < 1, b(t) ≥ 0, g(t) ≤ t, h(t) ≤ t, a connection between oscillation properties of the differential equation and differential inequalities is established. Explicit nonoscillation and oscillation conditions and a comparison theorem are presented.

Original languageEnglish
Pages (from-to)601-617
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Volume286
Issue number2
DOIs
StatePublished - 15 Oct 2003

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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