一类二阶混合非线性微分方程的振动准则
Oscillation Criteria for a Class of Se-cond-Order Mixed Nonlinear Differential Equations
DOI: 10.12677/AAM.2019.84092, PDF,    科研立项经费支持
作者: 林锦滢, 陈腾杰：惠州学院，数学与大数据学院，广东 惠州
关键词: 振动性；二阶；微分方程；混合非线性；Riccati变换；Oscillation； Second-Order； Differential Equations； Mixed Nonlinearities； Riccati Transform
摘要: 运用积分平均技巧和新型的核函数，结合Elure积分，得到一类二阶混合非线性阻尼方程的新振动准则。新的结果具有更高的一般性，并能得到解的零点分布信息。
Abstract: New oscillation criteria for a class of second-order mixed nonlinear damping equations are obtained by means of the integral averaging technique and a new kernel function combined with the Elure integral. The new results have a higher generality than some of previous results. The zero distribution information of the solution is also obtained.
文章引用：林锦滢, 陈腾杰. 一类二阶混合非线性微分方程的振动准则[J]. 应用数学进展, 2019, 8(4): 815-825. https://doi.org/10.12677/AAM.2019.84092

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