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K周期系数差分方程xn+1=pn+xn-3s-2/xn-s的动力学性质

On the Dynamics of x_(n+1)=p_n+(x_(n-3s-2))/(x_(n-s)) with a Period-k Coefficien
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摘要 研究非自制差分方程x_(n+1)=p_n+(x_(n-3s-2)/x_(n-8)),其中p_n>0是一K周期序列.最后得到了方程解的有界性的一些充分条件. In this paper, we consider the boundedness character of solutions of the nonautonomous difference equation xn+1=pn+xn-3s-s/xn-s, where the parameter pnis a period-k sequence, with positive values and the initial conditions axe positive.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第2期229-232,共4页 Mathematics in Practice and Theory
基金 河南省高等学校青年骨干教师资助
关键词 差分方程 正解 有界性 difference equation positive solution boundness
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参考文献5

  • 1Amleh A M,Georgiou D A,Grove E A,Ladas G. On the recurrence relation xn+1 =α+xn-1/xn[J].Journal of Mathematical Analysis and Applications,1999.790-798.
  • 2Kulenovic M R S,Ladas G. On the dynamics of xn+1 + pn + xn-1/xn[J].Journal of Difference Equations and Application,2003.1053-1056.
  • 3Camouzis E,DeVault R. On the period-five trichotomy of all positive solutions of xn+1 =(p +xn-2)/xn[J].Journal of Mathematical Analysis and Applications,2004.40-49.
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  • 5Amleh A M,Camouzis E,Ladas G. On the boundedness character of rational equation,Part 2[J].J Difference Equation Appl,2006.637-650.

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