OSCILLATION AND NONOSCILLATION OF FIRST-ORDER DYNAMIC EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS

KARPUZ B., Ocalan O.

DYNAMIC SYSTEMS AND APPLICATIONS, cilt.18, sa.3-4, ss.363-374, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3-4
  • Basım Tarihi: 2009
  • Dergi Adı: DYNAMIC SYSTEMS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.363-374
  • Anahtar Kelimeler: First-order delay dynamic equations, nonoscillation, oscillation, positive and negative coefficients, time scales
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

In this article, we investigate oscillatory nature of all solutions of a class of delay dynamic equations including positive and negative coefficients. Also we give a nonoscillation criterion for this class of delay dynamic equations. While our results reduce to the well-known oscillation criteria for the particular cases of the time scale, they improve recent results on arbitrary time scales. Further, we give some illustrating examples as applications of our results.