高阶中立型微分方程正解的存在性

Existence of Positive Solutions for Higher Order Neutral Differential Equations

研究奇数阶中立型微分方程正解存在性 ,在允许中立项系数于1附近振动的情况下 ,获得了方程存在正解的充分条件 .本文结果部分地回答了 Gyori和 L adas所提出的一个公开问题 .

We investigate the existence of positive solutions for odd order neutral differential equations and obtain some sufficient conditions of existence of a positive solution when the neutral term is allowed to oscillate about 1.The results obtained partly answer an open problem by Gyri and Ladas.