一类分数阶中立型延迟微分方程的渐近稳定性

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一类分数阶中立型延迟微分方程的渐近稳定性杨水平惠州学院数学系, 惠州 516007 Asymptotic Stability of a Class of Fractional Neutral Delay Differential Systems YANG ShuipingDepartment of Mathematics, Huizhou Univerisity, Huizhou 516007

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摘要本文讨论了一类分数阶线性中立型延迟微分方程初值问题的解渐近稳定的充分必要条件.另外，本文还设计了数值求解这类分数阶中立型延迟微分方程初值问题的Hermite三次样条配置方法，并获得了局部截断误差结果.数值结果也验证了本文的理论结果.

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收稿日期: 2014-12-24

PACS:

O241.8

基金资助:国家自然科学基金（11501238，11401248）；广东省自然科学基金（2016A030313119，2015A030310410）；惠州学院自然科学基金（hzuxl201420）资助项目.

引用本文:

杨水平. 一类分数阶中立型延迟微分方程的渐近稳定性[J]. 应用数学学报, 2016, 39(5): 719-733. YANG Shuiping. Asymptotic Stability of a Class of Fractional Neutral Delay Differential Systems. Acta Mathematicae Applicatae Sinica, 2016, 39(5): 719-733.

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