Integral averaging technique and oscillation of certain even order delay differential equations

Using the generalized Riccati technique and the averaging technique, new oscillation criteria for certain even order delay differential equation of the form x(n−1)(t ) α−1 x(n−1)(t ) + F t,x g(t) = 0, neven, are established, where g ∈ C([t0,∞),R), F ∈ C([t0,∞) ×R,R), and α >0 is a constant.  2004 Elsevier Inc. All rights reserved