一类带反馈控制的高维泛函微分方程的正周期解研究OA北大核心CSCDCSTPCD
Positive Periodic Solutions for a Class of Higher-dimensional Functional Differential Equations with Feedback Control
具反馈控制的泛函微分方程模型比传统的微分方程模型能更加真实地反映客观现实.基于种群生态学中的数学模型为基础,研究如下一类带反馈控制的高维泛函微分方程模型˙x(t)=-P(t)x(t)+F(t,xt,u(t-δ(t))),˙u(t)=-Q(t)u(t)+R(t)x(t(t,x(t-σ(t)))),其中,P(t)=(P(..y)(t))nxn是非奇异矩阵.该模型包括了许多具反馈控制的时滞微分方程(系统)的生物数学模型,具有重要的理论和现实意义.利用严…查看全部>>
The model of functional differential equation with feedback control can describe the real world more accurately than traditional differential equation. Based on the mathematical model of ecological species, we study the model of the following higher-dimensional functional differential equations with feedback control and delaysx(t=-P(t)x(t)+F(t,xi,u(t-δ(t))),u(t)=-Q(t)u(t)+R(t)x(h(t,x(t-σ(t)))),where P(t) = (pij(t))n×nis a nonsingular matrix with contin…查看全部>>
杜瑞霞;刘萍
云南大学数学与统计学院,云南昆明650091云南大学数学与统计学院,云南昆明650091
数理科学
泛函微分方程严格集压缩不动点定理正周期解反馈控制
Functional differential equation fixed point theorem of strict-set -contraction positive periodic solution feedback control.
《四川师范大学学报（自然科学版）》 2012 (1)
16-20,5
云南省教育厅科学研究基金(2010Y246)资助项目
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