In this paper, we study the oscillatory behavior of the following neutral differential equation [(a(t)Sufficient conditions are obtained so that every every solution is either oscillatory or converges to zero. In particular. we extend the results obtained in [ 6 ] by not assuming a(t) is non-decreasing. Examples are provided to illustrate the main results.

Abstract. In this paper the authors established sufficient conditions for the oscillation of all solutions of a nonlinear differential equationwhere α and β are ratio of odd positive integers. The results obtained here extend and improve some of the existing results. Examples are included to illustrate the importance of the results.Mathematics subject classification (2010): 34C10, 34K11.

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