Geodesic
Oscillation of Nonlinear Neutral Delay Differential Equations
Serdica Mathematical Journal, Tome 34 (2008) no. 3, pp. 531-542

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In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C([t0,∞), [0,∞)) and f ∈ C([t0,∞) ×R,R). The obtained results extended and improve several of the well known previously results in the literature. Our results are illustrated with an example.
Keywords: Oscillation, Neutral Delay, Differential Equations 
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     author = {Elabbasy, E. M. and Hassan, T. S.},
     title = {Oscillation of {Nonlinear} {Neutral} {Delay} {Differential} {Equations}},
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Elabbasy, E. M.; Hassan, T. S. Oscillation of Nonlinear Neutral Delay Differential Equations. Serdica Mathematical Journal, Tome 34 (2008) no. 3, pp. 531-542. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_3_a0/