一类具有反馈控制项时滞泛函差分系统的周期正解

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 102-107.

一类具有反馈控制项时滞泛函差分系统的周期正解

1. Institute of Applied Mathematics and Mechanics, Shanghai University2. Department of Mathematics, Lianyungang Teachers College3. Department of Mathematics,Yunnan University4. Department of Mathematics, Shanghai University

收稿日期:2006-10-30 出版日期:2009-03-30 发布日期:2023-09-08
作者简介:GUO Peng-fei(1972- ), male, native of Wuxiang, Shanxi, an associate professor of Lianyungang Teachers Colleges, Ph.D., engages in computational mathematics.
基金资助:
Supported by the National Natural Sciences Foundation of China(10361006)； Supported by the Natural Sciences Foundation of Yunnan Province(2003A0001M)； Supported by the Jiangsu ”Qing-lanProject” for Excellent Young Teachers in University(2006)；

Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control

1. Institute of Applied Mathematics and Mechanics, Shanghai University2. Department of Mathematics, Lianyungang Teachers College3. Department of Mathematics,Yunnan University4. Department of Mathematics, Shanghai University

Received:2006-10-30 Online:2009-03-30 Published:2023-09-08
About author:GUO Peng-fei(1972- ), male, native of Wuxiang, Shanxi, an associate professor of Lianyungang Teachers Colleges, Ph.D., engages in computational mathematics.
Supported by:
Supported by the National Natural Sciences Foundation of China(10361006)； Supported by the Natural Sciences Foundation of Yunnan Province(2003A0001M)； Supported by the Jiangsu ”Qing-lanProject” for Excellent Young Teachers in University(2006)；

摘要/Abstract

摘要： By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form △x(n) = -b(n)x(n) + f(n,x(n - τ1(n)),… ,x(n - τm(n)),u(n - δ(n))), △u(n) = -η(n)u(n) + a(n)x(n - σ(n)), n ∈ Z.

关键词: delay difference system, positive periodic solution, feedback control, fixed point
theorem

Abstract: By using a fixed point theorem on a cone to investigate the existence of two positive periodic solutions for the following delay difference system with feedback control argument of the form △x(n) = -b(n)x(n) + f(n,x(n - τ1(n)),… ,x(n - τm(n)),u(n - δ(n))), △u(n) = -η(n)u(n) + a(n)x(n - σ(n)), n ∈ Z.

Key words: delay difference system, positive periodic solution, feedback control, fixed point
theorem

中图分类号:

O175.12

郭鹏飞, 朱先阳, 李永昆. 一类具有反馈控制项时滞泛函差分系统的周期正解[J]. 数学季刊, 2009, 24(1): 102-107.

GUO Peng-fei, ZHU Xian-yang, LI Yong-kun. Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 102-107.

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