Oscillation and stability of first-order delay differential equations with retarded impulses

KARPUZ B.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, no.66, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: Issue: 66
  • Publication Date: 2015
  • Doi Number: 10.14232/ejqtde.2015.1.66
  • Journal Name: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: oscillation, stability, uniform stability, delay differential equations, impulse effects, NONOSCILLATORY SOLUTIONS, ASYMPTOTIC-BEHAVIOR, THEOREM
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this paper, we study both the oscillation and the stability of impulsive differential equations when not only the continuous argument but also the impulse condition involves delay. The results obtained in the present paper improve and generalize the main results of the key references in this subject. An illustrative example is also provided.