Oscillation criteria for second order Emden-Fowler functional differential equations of neutral type

In this article, some new oscillation criterion for the second order Emden-Fowler functional differential equation of neutral type( r ( t ) | z ′ ( t ) | α − 1 z ′ ( t ) ) ′ + q ( t ) | x ( σ ( t ) ) | β − 1 x ( σ ( t ) ) = 0 ,where z ( t ) = x ( t ) + p ( t ) x ( τ ( t ) ) , α > 0 and β > 0 are established. Our results improve some well-known results which were published recently in the literature. Some illustrating examples are also provided to show the importance of our results.MSC: 34C10, 34K11.

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