A class of second-order nonlinear differential equations with damping term (r(t) | x ′ (t) | -1 x ′ (t)) ′ +p(t) | x ′ (t) | -1 x ′ (t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are extended in this paper. Examples are ...