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Oscillation of solutions of non-linear neutral delay differential equations of higher order for p ( t ) = ± 1

Radhanath N. Rath;  Laxmi N. Padhy;  Niyati Misra — 2004

Archivum Mathematicum

In this paper, the oscillation criteria for solutions of the neutral delay differential equation (NDDE) y ( t ) - p ( t ) y ( t - τ ) ( n ) + α Q ( t ) G y ( t - σ ) = f ( t ) has been studied where p ( t ) = 1 or p ( t ) ≤ 0 , α = ± 1 , Q ∈ C [ 0 , ∞ ) , R + , f ∈ C ( [ 0 , ∞ ) , R ) , G ∈ C ( R , R ) . This work improves and generalizes some recent results and answer some questions that are raised in [1].

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