On a second order differential equation with piecewise constant mixed arguments

Bereketoglu H., Seyhan G., KARAKOÇ F.

CARPATHIAN JOURNAL OF MATHEMATICS, cilt.27, sa.1, ss.1-12, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2011
  • Dergi Adı: CARPATHIAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Differential equation, differential equation with piecewise constant arguments, global attractor, oscillation, nonoscillation, periodicity, PERIODIC-SOLUTIONS, DELAY
  • Ankara Üniversitesi Adresli: Evet

Özet

We prove the existence and uniqueness of solutions of a class of second order differential equations with piecewise constant mixed arguments and we show that the zero solution of Eq. (1.1) is a global attractor. Also, we study some properties of solutions of Eq. (1.1) such as oscillation, nonoscillation, and periodicity