Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping

Tiryaki A., AKTAŞ M. F.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.325, sa.1, ss.54-68, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 325 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.01.001
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.54-68
  • Anahtar Kelimeler: oscillation, third order, delay differential equation, asymptotic behaviour, Riccati transformation and integral averaging, ASYMPTOTIC-BEHAVIOR, 2ND ORDER, THEOREMS, NONOSCILLATION
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the form (r(2)(t)(r(1)(t)y')')' + p(t)f (y(g(t))) = 0. By using a generalized Riccati transformation and integral averaging technique, we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. In particular, several examples are given to illustrate the importance of our results. (c) 2006 Elsevier Inc. All rights reserved.