一类变系数中立型微分方程振动的充要条件

来源期刊：中南大学学报(自然科学版)1996年第6期

论文作者：唐先华

文章页码：733 - 737

关键词：中立型; 微分方程; 振动性

Key words：neutral type; differential equations; oscillation

摘    要：研究了一类一阶交系数中立型微分方程的振动性,获得了其存在非振动解的充分必要条件,同时得到了几个使其一切解振动的充分条件,其中一些是“sharp”条件.这些结论改进了已有文献中的若干结果.

Abstract: In this paper, we investigate the oscillation of a type of neutral differential equation with variable coefficients. A necessary and sufficient condition for this type of equations to have a nonoscillatory solution is established. And several new sufficient conditions for the oscillation of all solutions are obtained as well. Some of these conditions are sharp. All these theorems improve and generalize the known results.