Oscillation theorems for nonlinear second-order differential equations

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