理论数学  >> Vol. 1 No. 1 (April 2011)

二阶Emden-Fowler中立型时滞微分方程振动准则
Oscillation Criteria of Second Order Emden-Fowler Neutral Delay Differential Equations

DOI: 10.12677/pm.2011.11008, PDF, 下载: 2,921  浏览: 7,257  国家自然科学基金支持

作者: 韩振来, 李同兴, 孙一冰, 孙莹:济南大学数学院,济南

关键词: 中立型时滞微分方程振动性Riccati变换
Neutral delay differential equations; Oscillation; Riccati transformation

摘要: 借助广义Riccati变换和不等式技巧,研究了一类较一般形式的二阶Emden-Fowler 中立型时滞微分方程的振动性,给出了该类微分方程区间振动准则。
Abstract: By Riccati transformation and inequality technique, the oscillation of second order Emden-Fowler neutral delay differential equations is considered, some new interval oscillation criteria are established.

文章引用: 韩振来, 李同兴, 孙一冰, 孙莹. 二阶Emden-Fowler中立型时滞微分方程振动准则[J]. 理论数学, 2011, 1(1): 37-40. http://dx.doi.org/10.12677/pm.2011.11008