云南民族大学学报(自然科学版)2005,Vol.14Issue(4):281-285,5.
带反馈控制的时滞微分系统的双正周期解
Twin Positive Periodic Solutions of Delay Differential System with Feedback Control
摘要
Abstract
In this paper, we employ a fixed point theorem on a cone to investigate the existence of twin positive periodic solutions for the following delay differential system with feedback control {dx/dt=-b(t)x(t)+f(t,x(t-τ1(t)),…,x(t-τn(t)),u(t-δ(t))),du/dt=-η(t)u(t)+a(t)x(t-σ(t)).We shall show that the system above has at least two positive periodic solutions under certain growth conditions.关键词
中立型泛函微分方程/周期解/反馈控制/锥不动点定理/无穷时滞Key words
delay differential equation/positive periodic solution/feedback control/fixed- point theorem/state dependent delay分类
数理科学引用本文复制引用
刘萍,李永昆..带反馈控制的时滞微分系统的双正周期解[J].云南民族大学学报(自然科学版),2005,14(4):281-285,5.基金项目
国家自然科学基金(编号:10361006) (编号:10361006)
云南省自然科学基金(编号:2003A0001M) (编号:2003A0001M)
云南大学青年自然科学基金(编号:2003Q032C) (编号:2003Q032C)
云南省教育厅自然科学基金(编号:04Y239A). (编号:04Y239A)