Oscillation of a first order linear impulsive delay differential equation with continuous and piecewise constant arguments

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KARAKOÇ F.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.47, no.3, pp.601-613, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.15672/hjms.2017.474
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.601-613
  • Keywords: Oscillation, Delay, Piecewise constant argument, Impulse, PERIODIC-SOLUTIONS
  • Ankara University Affiliated: Yes

Abstract

A class of first order linear impulsive delay differential equation with continuous and piecewise constant arguments is studied. Using a connection between impulsive delay differential equations and nonimpulsive delay differential equations sufficient conditions for the oscillation of the solutions are obtained.