Oscillation criteria for second-order nonlinear differential equations with integrable coefficient

In this paper, we consider the second-order nonlinear differential equation [a(t) |y′(t)|^σ-1y′(t)]′ + q(t)f(y(t)) = r(t), where σ > 0 is a constant, a ∈ C(R, (0, ∞)), q ∈ C(R, R), f ∈ C(R, R), cursive Greek chif(cursive Greek chi) > 0, f′(cursive Greek chi) ≥ 0 for cursive Greek chi ≠ 0. Some new sufficient conditions for the oscillation of all solutions of (*) are obtained. Several examples which dwell upon the importance of our results are also included.