摘要
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 nonlinear Nicholson’s blowflies model,are examined in detail.
作者
王晚生
黄艺
王为
饶婷
WANG WANSHENG;HUANG Yi;WANG WEI;RAO TING;School of Mathematics and Statistics Changsha University of Science&Technology;Department of Mathematics,Shanghai Normal University(Changsha University of Science&Technology,Changsha 410114,Chinα;Depαrtment of Mathematics,Shanghai Normal University,Shanghαi 200234,Chinα)
出处
《应用数学学报》
CSCD
北大核心
2019年第4期564-576,共13页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(11771060)资助项目