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, ss.54-68, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 325 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.01.001
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.54-68

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.