On the critical case in oscillation for differential equations with a single delay and with several delays

Leonid Berezansky, Jaromír Baštinec, Josef Diblík, Zdeněk Šmarda

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

New nonoscillation and oscillation criteria are derived for scalar delay differential equations x(t)+a(t)x(h(t))=0,a(t)≥0,h(t)≤t,t≥ t 0, and x(t)+ Σk=1m ak(t)x(hk(t))=0, ak(t)≥0, hk(t)≤t, and t≥ t 0, in the critical case including equations with several unbounded delays, without the usual assumption that the parameters a, h, ak, and hk of the equations are continuous functions. These conditions improve and extend some known oscillation results in the critical case for delay differential equations.

Original languageEnglish
Article number417869
JournalAbstract and Applied Analysis
Volume2010
DOIs
StatePublished - 22 Nov 2010

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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