摘要
本文研究时间尺度T上一类同时具有一个次线性中立项和阻尼项的非线性非自治二阶动态系统的动力学行为,利用黎卡提变换技术和不等式技巧,并结合时间尺度上的有关理论,在正则条件下获得该系统多个新的动力学性质,所举例子说明,这些结果推广且改进了近年来已有的部分经典研究成果.
We study the dynamical properties of a class of second-order nonlinear non-autonomous damped dynamic equations with a quasilinear neutral term on a time scales T.Under the regularity condition,by using the generalized Riccati transformation and the inequalities technique,and in combination with the calculus theory on time scales,some new dynamical properties for the equations are established.The illustrative examples show that our results extend and improve the part of the study results established in previous literatures.
作者
覃桂茳
QIN Guijiang(School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,China)
出处
《应用数学》
北大核心
2023年第2期295-303,共9页
Mathematica Applicata
基金
国家自然科学基金(51765060)
广西自然科学基金(2020JJA110021)
广西高校中青年教师基础能力提升项目(2020KY17007)
梧州学院校级科研重点项目(2020B005)
梧州学院博士基金项目(2021A001)。
关键词
动力学性质
时间尺度
变时滞阻尼动态系统
次线性中立项
黎卡提变换
Dynamic property
Time scale
Variable delay damped dynamic equation
Quasilinear neutral term
Riccati transformation
