Oscillation of Certain Second-Order Nonlinear Differential Equations☆

Abstract In this paper we consider the second-order nonlinear differential equation[formula] where σ > 0 is any quotient of odd integers, a  ∈  C 1 ( R , (0, ∞)), q  ∈  C ( R ,  R ), f  ∈  C ( R ,  R ), xf ( x ) > 0, f ′( x ) ≥ 0 for x  ≠ 0. Some new sufficient conditions for the oscillation of all solutions of ( ∗ ) are obtained. Several examples that dwell upon the importance of our results are also included.

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