Linearized Oscillation Theory for a Nonlinear Nonautonomous Difference Equation

Berezansky L., KARPUZ B.

24th International Conference on Difference Equations and Applications (ICDEA), Dresden, Almanya, 21 - 25 Mayıs 2018, cilt.312, ss.3-19 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 312
  • Doi Numarası: 10.1007/978-3-030-35502-9_1
  • Basıldığı Şehir: Dresden
  • Basıldığı Ülke: Almanya
  • Sayfa Sayıları: ss.3-19
  • Anahtar Kelimeler: Difference equations, Variable delays, Linearized oscillation, Pielou equation, Ricker model, Lasota-Wazewska equation, NONOSCILLATION
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

We review some theorems and mistakes in linearized oscillation results for difference equations with variable coefficients and constant delays, as well as develop linearized oscillation theory when delays are also variable. Main statements are applied to discrete models of population dynamics. In particular, oscillation of generalized Pielou, Ricker and Lasota-Wazewska equations is considered.