期刊论文

Dissipativity of Neutral Delay Differential Equations of Hale's Type: New Criteria and Applications

中文

应用数学学报

0254-3079

2019

42

4

564-576

国家自然科学基金(11771060)资助项目.

本校为第一机构

本文研究由Hale型非线性中立型延迟微分方程(HNDDEs)生成的耗散动力系统的耗散性,其与不变测度紧密相关.利用广义的Halanay不等式,给出了非线性非自治HNDDEs —些新的、有用的耗散准则.本文详细讨论了两个具体的动力系统:一是由传输线问题所产生的模型,二是非线性Nicholson丽蝇模型.

In this paper we study the dissipativity which is associated with the invariant measures for dissipative dynamical systems generated by nonlinear neutral delay differential equations of Hale's type (HNDDEs). Several new and useful dissipativity criteria are presented for nonlinear non-autonomous HNDDEs by using a generalized Halanay inequality. Two examples of concrete dynamical systems, one arises from the transmission line problem and the other is a no...