Oscillation theorems for nonlinear second-order differential equations

In this paper, some new oscillation criteria are given for the second-order nonlinear differential equation [r(t)Φ(x(t)) (x′(t))]′ + c(t) (x(t)) = 0, t ≥ t0, where r ε C([t0, ∞); [0, ∞)), c ε C([t0, ∞); ), Φ ε C( ; ), and : → is defined by (s) = sp−2s with p > 1 a fixed real number. These criteria involve the use of averaging functions.