非线性中立型延迟微分方程的散逸性  

Dissipativity for Nonlinear Neutral Delay Differential Equations

作　　者：程珍[1] 黄乘明[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《系统仿真学报》2007年第14期3184-3187,共4页Journal of System Simulation

基　　金：国家自然科学基金(10671078);教育部新世纪优秀人才支持计划(NCET-05-0638);留学回国人员科研启动基金(教外司留(2005)55)

摘　　要：主要研究非线性中立型延迟微分方程本身及其数值方法的散逸性问题。首先,对此类中立型延迟微分方程理论解的散逸性给出了充分条件;随后,应用一类线性多步法求解至该类问题,证明了在适当条件下,其数值解也具有散逸性;最后,数值试验进一步验证了理论结果的正确性。The dissipativity of theoretical solution and numerical solution of nonlinear neutral delay differential equations （NDDEs） was investigated. The sufficient conditions for the dissipativity of theoretical solution of the mentioned problem were given, and the numerical solution was dissipative in some proper conditions for a class of linear multistep methods when they were applied to these problems. The numerical tests were given that illustrates the results.

关 键 词：非线性 中立型延迟微分方程 散逸性 线性多步法 

分 类 号：O241.8[理学—计算数学]