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Some oscillation criteria are established for the second order nonlinear neutral differential equations of the form where α and β are the ratios of odd positive integers with β ≥ 1. Examples are provided to illustrate the main results. 1991 Mathematics Subject Classification. 34C15.doi:10.14232/ejqtde.2012.1.75 fatcat:6qsm3a7f25bfjlbr34fvgx5ebm