摘要
考虑n阶中立型微分方程其中n≥1是奇数.在对f较弱的限制条件下,本文获得了方程(*)当p≠─1时存在正解的充分条件以及当p=-1时存在有界正解的充分必要条件.本文结果部分地回答了文献[1]中的公开问题.
Consider the n order neutral differential equation where n≥1 is an odd integer. Sufficient conditions are obtained for the existence of a positive solution of Eq. (*) with p≠-1, also, sufficient and necessary conditions are obtained for the existence of a bounded positive solution of Eq. (*) with p =-1. These conditions are weaker for the function f. The results obtained answer partially an open problem in [1].
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1996年第2期145-155,共11页
Acta Mathematica Sinica:Chinese Series
基金
湖南自然科学基金
关键词
中立型
正解
存在性
振动
时滞微分方程
higher order neutral differential equation, existence of positive solution, oscillation