摘要
本文讨论一类一阶具有变号系数中立型时滞微分方程的振动性,建立了此类方程一切解振动的几族充分条件.将其结论用于具有正系数中立型时滞微分方程及具有正负系数中立型时滞微分方程,改进了[1-8]的相应定理.
In this paper, we consider certain first order neutral delay differential equations with variable sign coefficients, and obtain several classes of sufficient conditions for the oscillation of its solutions. Using our results to neutral delay differential equations with positive coefficients and with positive and negative coefficients, then the results improve the corresponding theorems in [1-8].
出处
《应用数学学报》
CSCD
北大核心
2002年第4期650-659,共10页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10071048号)资助项目
关键词
变号系数
中立型
时滞微分方程
振动
最终正解
Neutral type, delay differential equations, oscillation, ultimately positive solution