Asymptotic behaviour of a population model with piecewise constant argument

KARAKOÇ F.

APPLIED MATHEMATICS LETTERS, cilt.70, ss.7-13, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.aml.2017.02.014
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7-13
  • Anahtar Kelimeler: Piecewise constant argument, Difference equation, Linearized oscillation, Nonoscillation, IMPULSIVE DIFFERENTIAL-EQUATIONS, DELAY, OSCILLATION
  • Ankara Üniversitesi Adresli: Evet

Özet

We investigate oscillation about the positive equilibrium point of a population model with piecewise constant argument. By using linearized oscillation theory for difference equations a necessary and sufficient condition for the oscillation is obtained. Moreover it is showed that every nonoscillatory solution approaches to the equilibrium point as t tends to infinity. (C) 2017 Elsevier Ltd. All rights reserved.