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Oscillation of nonlinear neutral delay differential equations of second order

Ireneusz KubiaczykSamir H. Saker — 2002

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.

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