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2000 Mathematics Subject Classification: 34K15, 34C10.
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.
2010 Mathematics Subject Classification: 34C10, 34C15.
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