New oscillation tests and some refinements for first-order delay dynamic equations

KARPUZ B., ÖCALAN Ö.

TURKISH JOURNAL OF MATHEMATICS, vol.40, no.4, pp.850-863, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.3906/mat-1507-98
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.850-863
  • Keywords: Oscillation, delay dynamic equations, time scales, DIFFERENCE-EQUATIONS, UNBOUNDED DELAY, CRITERIA
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we present new sufficient conditions for the oscillation of first-order delay dynamic equations on time scales. We also present some examples to which none of the previous results in the literature can apply.