Kamenev-type oscillation criteria for even order delay differential equations

Abstract

By using the integral averaging technique, Kamenev-type oscillation criteria for the even order delay differential equation (r)(t)|x ^(n-1)(t)|^α-1x^(n-1)(t))′ + F(t, x[g(t)]) = 0, n even, are established, where r ε C¹([t ₀,∞),ℝ⁺), g ε C([t₀,∞), ℝ), F ε C([t₀,∞) x ℝ. ℝ), and α > 0 is a constant.