带强迫项的高阶微分方程非振动解的存在性

Existence of nonoscillatory solutions for forced higher order differential equations

考虑带强迫项的高阶中立型微分方程非振动解的存在性,获得了方程存在满足lim inf|x(t)|>0非振动解x(t)的几个条件.

The existence of nonoscillatory solutions for higher order neutral differential equations [x（t）-Σmipi（t）x（τi（t））]^（n）＋∫a^bf（t,ξ,x（g1（t,ξ））,…,x（g1（t,ξ）））dσ（ξ）= q（t） is considered. Someconditions for existence of nonoscillatory solutions x（t） satisfying lim inf}x（t） ｜ 〉0 are obtained.