Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 102-107.

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

  

  1. 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);

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

CLC Number: