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Oscillation and asymptotic behaviour of a higher-order nonlinear neutral-type functional differential equation with oscillating coefficients
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نویسنده
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yildiz m.k. ,karaman e. ,durur h.
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منبع
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journal of applied mathematics - 2011 - دوره : 2011 - شماره : 0
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چکیده
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We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t)+p(t)f(y((t)))] (n) + q (t) h (y (δ(t))) = 0,t ≥ t 0,t ∈ r,where p ∈ c ([t0,ℝ),r),limt → ∞ p (t) = 0,q ∈ c ([t0,∞ ),ℝ+),τ(t),δ(t) ∈ c ([ t0,∞ ),ℝ),τ(t),δ(t) < t,lim t → ∞ τ(t),δ(t) = ∞,and f,h ∈ c (ℝ,ℝ). we obtain sufficient conditions for the oscillation of all solutions of this equation. © 2011 mustafa kemal yildiz et al.
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آدرس
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department of mathematics,faculty of science and arts,afyon kocatepe university, Turkey, department of mathematics,faculty of science and arts,karabük university, Turkey, department of technical programs,vocational high school of ardahan,ardahan university, Turkey
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Authors
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