Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842980 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 13 Pages |
Abstract
In this paper, we consider the higher-order nonlinear neutral delay differential equation equation(1.1)(x(t)−p(t)x(t−τ))(n)+f(t,x(σ(t)))=0(x(t)−p(t)x(t−τ))(n)+f(t,x(σ(t)))=0 where nn is an odd number and n⩾3,τ>0n⩾3,τ>0, p,σ∈C([t0,∞),R+),σ(t)⩽t,limt→∞σ(t)=∞p,σ∈C([t0,∞),R+),σ(t)⩽t,limt→∞σ(t)=∞, f∈C([t0,∞)×R,R),f(t,u)f∈C([t0,∞)×R,R),f(t,u) is nondecreasing in uu.
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Authors
Haiyan Liang, Qiaoluan Li, Zhenguo Zhang,