SUFFICIENT CONDITIONS FOR THE OSCILLATION OF ODD-ORDER NEUTRAL DYNAMIC EQUATIONS


KARPUZ B.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.14, sa.1, ss.69-76, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 1
  • Basım Tarihi: 2017
  • Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.69-76
  • Anahtar Kelimeler: oscillation, odd-order, delay dynamic equations, TIME SCALES, CRITERIA
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory or tend to zero depending on two main ranges of the neutral coefficient.