一个时滞微分方程模型的全局吸引性

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 529-537.

一个时滞微分方程模型的全局吸引性

1. Department of Mathematics and Physics,Beijing Institute of Petrochemical Technology 2. Department of Basic Sciences,Pingdingshan Institute of Technology

收稿日期:2005-04-23 出版日期:2006-12-30 发布日期:2023-11-20
作者简介:Ll Lin(1963-),male,native of Nanyang,Henan,a professor of Beijing Institute of Petrochemical Technology,M.S.D.,engages in qualitative theorem of differential equations.
基金资助:

Global Attractivity for a Differential Delay Model

1. Department of Mathematics and Physics,Beijing Institute of Petrochemical Technology 2. Department of Basic Sciences,Pingdingshan Institute of Technology

Received:2005-04-23 Online:2006-12-30 Published:2023-11-20
About author:Ll Lin(1963-),male,native of Nanyang,Henan,a professor of Beijing Institute of Petrochemical Technology,M.S.D.,engages in qualitative theorem of differential equations.

摘要/Abstract

摘要： This paper considers the scalar differential delay equation x(t)=-μx(t)-f(x(t-τ)),where f(x)is a decreasing continuous function.By proving that all solutions will be ultimately in some interval,we give the conditions under which the unique equilibrium point of the differential delay equation is globally attractive.

关键词: differential delay equations, equilibrium, global

Abstract: This paper considers the scalar differential delay equation x(t)=-μx(t)-f(x(t-τ)),where f(x)is a decreasing continuous function.By proving that all solutions will be ultimately in some interval,we give the conditions under which the unique equilibrium point of the differential delay equation is globally attractive.

Key words: differential delay equations, equilibrium, global

中图分类号:

O175.12

李林, 王炳顺. 一个时滞微分方程模型的全局吸引性[J]. 数学季刊, 2006, 21(4): 529-537.

LILin, WANG Bing-shun. Global Attractivity for a Differential Delay Model[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 529-537.

[1]	李平, 李锋杰. 一类对数p-Laplace抛物型方程中的爆破和衰减估计[J]. 数学季刊, 2024, 39(4): 331-354.
[2]	王慧满, 申培萍, 梁雨欣. 全局求解Minimax线性分式规划的分支定界算法[J]. 数学季刊, 2024, 39(4): 388-398.
[3]	刘功伟, 杨坤. 一类退化抛物方程高初始能量下解的有限时刻爆破及整体存在性[J]. 数学季刊, 2024, 39(1): 97-110.
[4]	王珂, 潘盼盼. 一个一维二阶拟线性双曲组的精确边界能控性[J]. 数学季刊, 2023, 38(4): 424-440.
[5]	秦玉明, 陈家乐, 姜慧特. 关于全局吸引子的一个新的存在性定理以及它对于非经典扩散方程的应用[J]. 数学季刊, 2023, 38(3): 276-289.
[6]	王术, 孙瑞. 具有非线性边界条件的不可压 MHD-Boussinesq方程组初边值问题的整体适定性#br#[J]. 数学季刊, 2023, 38(3): 290-310.
[7]	李硕, 尚有林, 屈德强. 一个新的无参数填充函数及其在最小二乘法中的应用[J]. 数学季刊, 2021, 36(3): 263-274.
[8]	刘金赞, 屈德强. 求解全局优化问题的一种新的非参数填充函数[J]. 数学季刊, 2021, 36(2): 188-195.
[9]	尹福其 , 姜红 , 金蒙召 , 刘志奇. 加权空间中高维空间离散化的FitzHugh-Nagumo系统的全局吸引子[J]. 数学季刊, 2020, 35(3): 255-277.
[10]	詹悦, 尚有林, 屈德强. 求解箱式约束全局优化问题的新的F-C函数[J]. 数学季刊, 2020, 35(2): 214-220.
[11]	秦玉明, 刘子丽. 第三型热弹Timoshenko型方程组指数衰减 [J]. 数学季刊, 2019, 34(2): 111-125.
[12]	高建忠, 张太雷. 一类具有脉冲接种、双时滞的SEIRS传染病模型研究分析[J]. 数学季刊, 2019, 34(1): 75-87.
[13]	陈红亮, 李小平. 随机非自治Schoener竞争系统的周期解[J]. 数学季刊, 2018, 33(4): 369-376.
[14]	白宏芳, 徐瑞. 一类具有阶段结构的随机捕食与被捕食模型的全局稳定性分析[J]. 数学季刊, 2017, 32(4): 425-431.
[15]	胡文松, 秦玉明. 关于衰减Timoshenko系统的解的整体存在性、渐近性及一致吸引子[J]. 数学季刊, 2017, 32(3): 305-321.