Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients


YILDIZ M. K. , KARAMAN E. , DURUR H.

JOURNAL OF APPLIED MATHEMATICS, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1155/2011/158060
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS

Özet

We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t) + p(t)f(y)(tau(t)))]((n)) + q(t)h(y(sigma(t))) = 0, t >= t(0), t is an element of R, where p is an element of C([t(0),infinity),R), lim(t) (->) (infinity)p(t) = 0, q is an element of C([t(0),infinity), R(+)), tau(t), sigma(t) is an element of C([t(0), infinity),R), tau(t), sigma(t) < t, lim(t) (->) (infinity)tau(t), sigma(t) = infinity, and f, h is an element of C(R, R). We obtain sufficient conditions for the oscillation of all solutions of this equation.