Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control 被引量：1

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

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摘要由在一个锥上使用一条固定的点定理与反馈控制调查下列延期差别系统的二个积极周期的解决方案的存在 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.

作者 GUO Peng-fei ZHU Xian-yang LI Yong-kun

机构地区 Institute of Applied Mathematics and Mechanics Department of Mathematics Department of Mathematics Department of Mathematics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第1期102-107,共6页 数学季刊（英文版）

基金 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)

关键词时滞差分系统反馈控制正周期解泛函不动点定理控制参数铀 delay difference system positive periodic solution feedback control fixed pointtheorem

分类号 O175.7 [理学—基础数学] TP273 [自动化与计算机技术—检测技术与自动化装置]

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参考文献6

1AGARWAL R P. Difference Equations and Inequalities, Second Edition, Revised and Expanded: Theory, Methods and Applications[M]. New York: Marcel Dekker, 2000.
2ELAYDI S N. An Introduction to Difference Equations, Second Edition[M]. New York: Springer-Verlag, 1999.
3KOCIC V L, LADAS G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications[M]. Dordrecht: Kluwer Academic, 1993.
4ZHU Li-fei, LI Yong-kun. Positive periodic solutions of higher-dimensional functional difference equations with a parameter[J]. J Math Anal Appl, 2004, 290: 654-664.
5JIANG Da-qing, O'REGAN D, AGARWAL R P. Optimal existence theory for single and multiple positive periodic solutions to functional difference equations[J]. Comput Math Appl, 2005, 161: 441-462.
6GUO Da-jun, LAKSHMIKANTHAM V. Nonlinear Problem in Abstract Cones[M]. New York: Academic press, 1988.

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1翁佩萱.GLOBAL ATTRACTIVITY IN A PERIODIC COMPETITION SYSTEM WITH FEEDBACK CONTROLS[J].Acta Mathematicae Applicatae Sinica,1996,12(1):11-20. 被引量：5
2TIAN De-sheng CAI Guang-xing YANG Ce-ping.Existence of Two Periodic Solutions of a Delayed Single Species Model with Feedback Regulation and Harvest Term[J].Chinese Quarterly Journal of Mathematics,2010(3):407-413. 被引量：1
3赖尾英.具有反馈控制和时滞的非自治的Nicholson’s Blowfies模型的持久性(英文)[J].Chinese Quarterly Journal of Mathematics,2011,26(4):568-572. 被引量：2

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1王烈,陈斯养.Existence of Positive Periodic Solutions for the Predator-Prey Difference System with Beddington-DeAngelis Functional Response and Time Delays[J].Journal of Southwest Jiaotong University(English Edition),2010,18(3):260-270.
2张书年.EXISTENCE OF ALMOST PERIODIC SOLUTIONS FOR DIFFERENCE SYSTEMS[J].Annals of Differential Equations,2000,16(2):184-206. 被引量：17
3翁佩萱.EXPONENTIALLY ASYMPTOTIC STABILITY OF NONLINEAR NEUTRAL DIFFERENTIAL DIFFERENCE SYSTEM[J].Annals of Differential Equations,2002,18(2):160-172.
4张书年,傅显隆.BOUNDEDNESS OF INFINITE DELAY DIFFERENCE SYSTEMS IN TERMS OF TWO MEASURES[J].Annals of Differential Equations,2001,17(4):391-399.
5Fu Xianlong Zhou Lei Cao Yueju.A THEOREM OF UNIFORMLY ASYMPTOTIC STABILITY FOR DELAY DIFFERENCE SYSTEM[J].Annals of Differential Equations,2005,21(3):275-278.
6Hu Xiulin Zhou Zongfu (School of Math, and Computation Science, Anhui University, Hefei 230039).EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR INFINITE DELAY FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2006,22(3):270-276. 被引量：2
7HAN Qian-qian ZHAI Cheng-bo.Existence and Uniqueness of Positive Periodic Solutions for First-order Functional Differential Equations[J].Chinese Quarterly Journal of Mathematics,2013,28(3):454-461.
8蒋达清,魏俊杰.EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR VOLTERRA INTERGO-DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2001,21(4):553-560. 被引量：8
9林晓宁.MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J].数学物理学报（A辑）,2006,26(B12):1105-1114. 被引量：4
10ZHANG Shunian Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200240, China.Almost periodic solutions of difference systems[J].Chinese Science Bulletin,1998,43(24):2041-2046. 被引量：1

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Two Positive Periodic Solutions of Delay Functional Difference System with Feedback Control 被引量：1

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