时标上具正负系数的三阶阻尼动力方程的振动性  

Oscillation of Third-order Damped Dynamic Equations with Positive and Negative Coefficients on Time Scales

作　　者：张萍 杨甲山 ZHANG Ping;YANG JIASHAN(School of Science,Shaoyang University,Shaoyang 422004,China;School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]邵阳学院理学院,邵阳422004 [2]梧州学院大数据与软件工程学院,梧州543002

出　　处：《应用数学学报》2021年第5期632-645,共14页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(51765060);湖南省教育厅一般项目(20C1683)资助项目。

摘　　要：研究了时标上一类具有正负系数和阻尼项及非线性中立项的三阶动力方程的振动性,运用Riccati变换技术,结合大量不等式技巧,得到了该方程的几个新的振动准则,这些准则推广和改进了一些已知的结果,最后以具体例子来说明了本文的结论.The oscillation for certain third-order dynamic equations with positive and negative coefficients and damping term and nonlinear neutral term on time scales is discussed in this article.By using the generalized Riccati transformation and the inequality techniques,we establish some new oscillation criteria for the equations.Our results extend and improve some known results.Examples are given to illustrate the main results of this article.

关 键 词：时滞动力方程 振动性 RICCATI变换 不等式技巧 时标 

分 类 号：O175.7[理学—数学]