Advanced Impulsive Differential Equations with Piecewise Constant Arguments

Bereketoglu H., Seyhan G., Ogun A.

MATHEMATICAL MODELLING AND ANALYSIS, vol.15, no.2, pp.175-187, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.3846/1392-6292.2010.15.175-187
  • Journal Name: MATHEMATICAL MODELLING AND ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.175-187
  • Keywords: impulsive differential equation, differential equation with piecewise constant argument, oscillation, nonoscillation, periodicity, global asymptotic stability, PERIODIC-SOLUTIONS, DELAY, STABILITY, OSCILLATION, SYSTEMS
  • Ankara University Affiliated: Yes

Abstract

We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases.