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On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n 被引量:1

On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n
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摘要 In this paper,we investigate the boundedness character,the global attractivity and the periodic nature of the system of rational difference equations:x=p+y/x,y=q+x/y,n=0,1,2…,where p>0,q>0,k∈{1,2,…} and the initial values xi,yi∈(0,∞),i=-k,-k+1,…,0. Some new results are obtained. In this paper,we investigate the boundedness character,the global attractivity and the periodic nature of the system of rational difference equations:x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n,n=0,1,2…,where p>0,q>0,k∈{1,2,…} and the initial values xi,yi∈(0,∞),i=-k,-k+1,…,0. Some new results are obtained.
出处 《Journal of Pharmaceutical Analysis》 SCIE CAS 2009年第3期189-191,共3页 药物分析学报(英文版)
关键词 difference equation global behavior equilibrium solution boundedness difference equation global behavior equilibrium solution boundedness
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参考文献5

  • 1Camouzis E,Papaschinopoulos G.Global asymptotic behavior of positive solutions on the systemof rational equationsxn+1=1 +ynx-nm,yn+1=1 +xny-nm[].Journal of Applied Mathematics.2004
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