期刊论文

Long-Time Stability of Nonlinear Neutral Differential Equations with Variable Delay

中文

数学物理学报

1003-3998

2018

38

1

96-109

10.3969/j.issn.1003-3998.2018.01.010

(11371074,11771060):国家自然科学基金 (13JJ1020):湖南省自然科学基金***项目 (13A108):湖南省教育厅研究基金 (CX2016B418):湖南省研究生创新项目 (11371074,11771060):Supported by the NSFC (13JJ1020):the Natural Science Foundation for Distinguished Young scholars in Hunan Province (13A108):the Research Foundation of Education Bureau of Hunan Province (CX2016B418):the Hunan Graduate Innovation Project

本校为第一机构

该文主要分析非线性中立型变延迟微分方程(NDDEs)的长时间行为,获得了非线性变延迟系统解的一致最终有界性的主要结果.基于此主要结果,得到了非线性中立型延迟微分方程的两个典型特例,常延迟微分方程和比例延迟微分方程,解一致最终有界的充分条件.文章最后给出了一些具体实例以说明这些结果的应用.

The long-time behaviour of nonlinear neutral delay differential equations （NDDEs） with variable delay is analysed. A main result guaranteeing uniform ultimate boundedness for a variable delay nonlinear system has been established. The sufficient conditions for the uniform ultimate boundedness for two typical examples of NDDEs, the constant delay differential equations and the proportional delay differential equations, are derived from the main result. Some examples ...