Advanced Impulsive Differential Equations with Piecewise Constant Arguments


Bereketoglu H., Seyhan G., Ogun A.

MATHEMATICAL MODELLING AND ANALYSIS, cilt.15, sa.2, ss.175-187, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3846/1392-6292.2010.15.175-187
  • Dergi Adı: MATHEMATICAL MODELLING AND ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.175-187
  • Anahtar Kelimeler: impulsive differential equation, differential equation with piecewise constant argument, oscillation, nonoscillation, periodicity, global asymptotic stability, PERIODIC-SOLUTIONS, DELAY, STABILITY, OSCILLATION, SYSTEMS
  • Ankara Üniversitesi Adresli: Evet

Özet

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.