二阶中立型时滞微分方程的振动准则
Oscillation Criterion of Second Order Differential Equations with Neutral Delay
DOI: 10.12677/PM.2022.1211215, PDF,    国家社会科学基金支持
作者: 林靖杰, 林全文, 伍思敏*：广东石油化工学院理学院，广东 茂名
关键词: 时滞微分方程；振动准则；二阶；广义Riccati变换；Delay Differential Equation； Oscillation Criterion； Second Order； Generalized Riccati Transformation
摘要: 考虑二阶中立型时滞微分方程：的振动性，在现有文献基础上，利用广义Riccati变换、函数单调性和经典不等式，对方程做了进一步研究，建立新准则，改进了文献的某些结果。并且给出了例子说明主要结果的先进性。
Abstract: In this paper, we study the oscillation of second order differential equations with neutral delay using generalized Riccati transformation, the classical inequality and functional monotonicity, some new oscillation criterion are obtained, and improved the results of the references. At last, some examples are given to illustrate the advancement of our results.
文章引用：林靖杰, 林全文, 伍思敏. 二阶中立型时滞微分方程的振动准则[J]. 理论数学, 2022, 12(11): 1989-1994. https://doi.org/10.12677/PM.2022.1211215

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