Iterated oscillation criteria for delay partial difference equations

KARPUZ B., Öcalan Ö.

Mathematica Bohemica, cilt.139, sa.3, ss.437-450, 2014 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 139 Sayı: 3
  • Basım Tarihi: 2014
  • Dergi Adı: Mathematica Bohemica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.437-450
  • Anahtar Kelimeler: Oscillation, Partial difference equation, Variable coefficient
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples, we also provide 3D graphics, which are plotted by a mathematical programming language.