一类三阶中立型半线性时滞微分方程振动准则

doi:10.12677/PM.2017.74045

期刊菜单

一类三阶中立型半线性时滞微分方程振动准则
Oscillate Criteria of Third Order Semi-Linear Neutral Differential Equations with Delay Argument

DOI: 10.12677/PM.2017.74045, PDF, HTML, XML, 被引量下载: 1,545 浏览: 4,662 科研立项经费支持
作者: 李全娣, 杨菊, 黎小贤, 林全文^*：广东石油化工学院理学院数学系，广东茂名
关键词: 振动准则；三阶中立型半线性时滞微分方程；广义Riccati变换；Oscillation Criterion； Third Order Semi-Linear Neutral Differential Equations with Delay Argu-ment； Generalized Riccati Substitution

摘要: 本文研究一类三阶中立型半线性时滞微分方程振动性质，利用广义Riccati变换和经典不等式技巧，参考最近论文结果，建立了一个新的振动性准则，并给出证明和例子。

Abstract: We study the oscillatory of third order semi-linear neutral differential equations with delay argument. Using a generalized Riccati substitution and inequation technique, and consulting some results in recent literature, a new oscillation criterion is established and proved, also a number of examples are given to prove their efficiency..

文章引用：李全娣, 杨菊, 黎小贤, 林全文. 一类三阶中立型半线性时滞微分方程振动准则[J]. 理论数学, 2017, 7(4): 356-362. https://doi.org/10.12677/PM.2017.74045

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