Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (1): 44-47.

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Dynamics of the Difference Equation xn+1=pn+xnxn-1

HAN Cai-hong, LI Lue, HUANG Rong-li   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541001,China
  • Received:2012-05-13 Online:2013-03-20 Published:2018-11-26

Abstract: This paper studies the dynamics of the difference equation xn+1=pn+xnxn-1,n=0,1,… where the parameter pn is a period-three sequence with initial valuesx-1,x0∈(0,+∞).Results show that every positive solution of this equation converges to a unique period-three solutions and the difference equation has global asymptotic stability.

Key words: difference equation, convergence, period solutions, global asymptotic stability

CLC Number: 

  • O175.7
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