具非线性中立项和多变时滞的二阶动态系统的动力学行为分析  

Dynamical behavior of second-order dynamic equations with nonlinear neutral term and multi-time delay

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,湖南邵阳422004 [2]梧州学院大数据与软件工程学院,广西梧州543002

出　　处：《安徽大学学报（自然科学版）》2023年第2期24-30,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51765060);湖南省教育厅自然科学基金一般项目(20C1683);广西高校中青年教师基础能力提升项目(2020KY17007);邵阳市科技计划项目(2021005ZD)。

摘　　要：利用Riccati变换技术和不等式技巧,研究时标T上一类具有非线性中立项和多变时滞的二阶泛函动态系统的动力学行为,在正则条件下获得了该类系统的一些新的动力学性质,进一步推广且改进了近年来已有的部分经典研究成果,并充分反映了时滞在系统振荡中的影响作用.The dynamical behavior of a class of second-order functional dynamic equations with a nonlinear neutral term and multi-time delay were investigated on a time scale T.Under the regularity condition,by using the generalized Riccati transformation and the inequalities technique,some new dynamical properties for the equations were established.The results obtained extended and improved the part of the study results established in previous literatures and fully reflected the influence of delay in equation oscillation.

关 键 词：振荡性 时标 变时滞动态系统 非线性中立项 RICCATI变换 

分 类 号：O175.7[理学—数学]