Linearized oscillation of odd order nonlinear neutral delay differential equations (I) ✩

In this paper, we proved that the odd order nonlinear neutral delay differential equation x(t)− p(t)g x(t −τ) (n) + q(t)h x(t −σ) = 0 has the same oscillatory character as its linearized equation x(t)− p0x(t − τ) (n) +q0x(t − σ) = 0 under some rather relaxed conditions on g(u) and h(u), where p0 = limt→∞p(t), q0 = limt→∞q(t). © 2005 Published by Elsevier Inc