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

摘要

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)(alpha-1)x((n-1))(t))' + F(t, x [g(t)]) = 0, n even, are established, where g is an element of C ([t(0), infinity), R), F is an element of C ([t(0), infinity) x R, R), and alpha > 0 is a constant. (C) 2004 Elsevier Inc. All rights reserved. [References: 16]