Oscillation Criteria for Nonlinear Delay Differential Equations of Second Order


ÇAKMAK D. , Tiryaki A.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, sa.84, ss.1-9, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: Konu: 84
  • Basım Tarihi: 2011
  • Doi Numarası: 10.14232/ejqtde.2011.1.84
  • Dergi Adı: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
  • Sayfa Sayıları: ss.1-9

Özet

We prove oscillation theorems for the nonlinear delay differential equation (vertical bar y'(t)(alpha-2) y'(t)' + q(t) vertical bar y(tau(t))vertical bar(beta-2) y(tau(t)) = 0, t >= t(*) > 0, where beta > 1, alpha > 1, q(t) >= 0 and locally integrable on [t(*), infinity), tau(t) is a continuous function satisfiying 0 < tau(t) <= t and lim(t ->infinity) tau(t) = infinity. The results obtained essentially improve the known results in the literature and can be applied to linear and half-linear delay type differential equations.