一类二阶非线性微分方程解的零点存在性
The Existence of Zero-Points of Solution for a Class of Second Order Nonlinear Differential Equation
DOI: 10.12677/AAM.2019.87146, PDF,    国家自然科学基金支持
作者: 林丽琴, 钟可晴, 刘玉彬*：惠州学院数学与大数据学院，广东 惠州
关键词: 二阶非线性微分方程；零点；解；The Second Order Nonlinear Differential Equation； Zero-Points； Solution
摘要: 本文研究了一类二阶非线性微分方程。通过建立几个微分不等式，建立了方程解的零点存在的若干新条件，并通过实例说明定理的有效性。
Abstract: In the present paper, we investigate a class of second order differential equation. By establishing several inequalities, some new conditions on the existence of zero-points of solution for the equation are obtained. Several examples are given to illustrate the effectiveness of the obtained conditions.
文章引用：林丽琴, 钟可晴, 刘玉彬. 一类二阶非线性微分方程解的零点存在性[J]. 应用数学进展, 2019, 8(7): 1256-1266. https://doi.org/10.12677/AAM.2019.87146

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