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时标上一类分布时滞线性动力方程的全局吸引性

Global Attractivity for a Linear Dynamic Equation with a Distributed Delay on Time Scales
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摘要 本文研究时标上一类具有分布时滞的线性动力方程,利用Lyapunov函数方法,得到了该方程全局吸引性的一个充分条件,并且进一步分析了具有混合时滞的线性动力方程在时标上的全局吸引性。最后文章给出了几个例子予以说明。 In this paper, we consider a linear dynamic equation with a distributed delay on time scales. By using Lyapunov function method, we obtain a novel sufficient condition for global attractivity of the linear delayed dynamic equation. And the linear dynamic equation with mixed delays on time scales is also discussed. Some examples are given to illustrate our results.
作者 舒明春 黄振坤 Mingchun Shu;Zhenkun Huang(Chengyi College University, Jimei University, Xiamen Fujian;School of Science, Jimei University, Xiamen Fujian)
出处 《理论数学》 2017年第5期408-416,共9页 Pure Mathematics
基金 福建省中青年教师教育科研项目基金资助(JA15649)。
关键词 全局吸引性 时标上分布时滞 混合时滞 线性动力方程 Global Attractivity Distributed Delay on Time Scales Mixed Time Delays Linear Dynamic Equation
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