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Abstract: By refining the standard integral averaging technique, we obtain new oscillation criteria for a class of second order nonlinear neutral differential equations of the form Assumptions in our theorems are less restrictive, whereas the proofs are significantly simpler compared to those in the recent paper by Shi and Wang and related contributions to the subject. Examples are provided to illustrate the relevance of new theorems. [Copyright &y& Elsevier]

Abstract: For a class of -th order nonlinear neutral differential equations, sufficient conditions for all nonoscillatory solutions to satisfy are established. For another class of equations, necessary and sufficient conditions for nonoscillatory solutions to satisfy the above condition are obtained. Our theorems complement and extend recent results reported in the literature. [Copyright &y& Elsevier]

In this paper, we consider the oscillation of a class of third-order nonlinear neutral differential equations with distributed deviating arguments by using comparison principles. The obtained criteria essentially extend and improve related results in the literature by removing some restrictive conditions, which can easily be extended to more general third-order differential equations. Examples are also given to illustrate the established results. [ABSTRACT FROM AUTHOR]