一类高阶线性泛函方程的振动准则
Oscillate Criteria of a Class of Higher Order Linear Functional Equations
DOI: 10.12677/PM.2017.73026, PDF, HTML, XML, 下载: 1,471  浏览: 2,371  国家自然科学基金支持
作者: 戴丽娜, 伍思敏*, 林全文, 苏新晓：广东石油化工学院理学院，广东 茂名
关键词: 振动；高阶；线性；泛函方程；Oscillation； High Order； Linear； Functional Equations
摘要: 本论文主要是研究一类高阶线性泛函方程： 的振动性，这里 是已知的实值函数，并且 ，并得到该方程所有解振动的一些新的充分条件。我们的结果推广了现有文献中的某些结果。
Abstract: This paper mainly studies oscillatory of a class of higher order linear functional equations of the form , where are given real valued functions and . Some sufficient conditions for the oscillation of all solutions of this equation are obtained. And our results generalize and improve some results in some literature given.
文章引用：戴丽娜, 伍思敏, 林全文, 苏新晓. 一类高阶线性泛函方程的振动准则[J]. 理论数学, 2017, 7(3): 200-211. https://doi.org/10.12677/PM.2017.73026

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