Dissipativity of delay functional differential equations with bounded lag

被引：13

作者：

Tian, Hongjiong ^{[1
]}

Guo, Ni ^{[1
]}

Shen, Aili ^{[1
]}

机构：

[1] Sci Comp Key Lab Shanghai Univ, Shanghai Normal Univ, Dept Math, Div Computat Sci,E Inst, 100 Guilin Rd, Shanghai 200234, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 355卷 / 02期

关键词：

Dissipativity; Delay functional differential equation; Bounded lag; RUNGE-KUTTA METHODS; DYNAMICAL-SYSTEMS; THETA-METHOD;

D O I：

10.1016/j.jmaa.2009.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Delay functional differential equations are essentially different from ordinary differential equations because their phase space is infinite dimensional. We first establish a sufficient condition for delay functional differential equations with bounded lag to be dissipative. Then we construct a one-leg theta-method to solve such dissipative equations and prove that it is dissipative if theta = 1. One numerical example is given to confirm our theoretical result. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：778 / 782

页数：5

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