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
DOI: 10.12677/PM.2017.75053, PDF,    科研立项经费支持
作者: 舒明春*：集美大学 诚毅学院，福建 厦门；黄振坤：集美大学 理学院，福建 厦门
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
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。
Abstract: 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.
文章引用：舒明春, 黄振坤. 时标上一类分布时滞线性动力方程的全局吸引性[J]. 理论数学, 2017, 7(5): 408-416. https://doi.org/10.12677/PM.2017.75053

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