BEHAVIOR OF SOLUTIONS OF A NONLINEAR IMPULSIVE SYSTEM WITH PIECEWISE CONSTANT MIXED ARGUMENTS

Creative Commons License

Büyükkahraman M. L., SEYHAN ÖZTEPE G., BEREKETOĞLU H.

Miskolc Mathematical Notes, vol.21, no.2, pp.733-746, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.18514/mmn.2020.3231
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.733-746
  • Keywords: impulsive differential equation, oscillation, periodicity, piecewise constant argument
  • Uşak University Affiliated: Yes

Abstract

In this paper, we consider a nonlinear impulsive differential equation system with piecewise constant mixed arguments and prove the existence and uniqueness of a solution. Moreover, we obtain sufficient conditions for oscillation of the solution and give an example for it. Finally, we show that the solution of the modified version of this equation is k periodic.