一类高阶中立型微分方程有界非振动解的存在性

Existence of Bounded Nonoscillatory Solution for Higher-order Neutral Delay Differential Equation

通过运用条件fi(i=1,2)关于第2个变元是单调的及不动点定理,得到了高阶中立型微分方程有界非振动解存在的充分条件:(x(t)-p(t)x(τ(t)))(n)+f(t,x(σ(t)))-f(t,x(σ(t)))=0.

By applying the fixed point theorem and with the condition of fi（i=1,2） is monotonous about the second variable argument, the existence of bounded nonoscillatory solution of the following higher order neutral differential equations： （x（t）-p（t）x（τ（t）））（n）＋f1（t,x（σ1（t）））-f2（t,x（σ2（t）））=0are obtained.