Abstract: Several oscillation criteria are given for the second order nonlinear differential equation with damped term of the form [α(t)(y’(t))^σ]’ +p(t)(y’(t))^σ+ q(t)f(y(t)) = 0, where α∈C(R, (0,∞)), p(t) and q(t) are allowed to change sign on [t₀, ∞), and f∈C¹ (R, R) such that xf(x) > 0 for x ≠0. Our results improve and extend some known oscillation criteria. Examples are inserted to illustrate our results.

Key words: oscillation, second order nonlinear differential equation, damping