On a nonlinear second order system of difference equations
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摘要
We prove that all positive solutions of the next system of difference equationsxn+1=A+ynpxn-1q,yn+1=A+xnpyn-1q,n∈N0,where parameters A,p and q are positive numbers, are bounded if one of the following conditions is satisfied p2<4q, or 2q⩽p<1+q,q∈(0,1), and that the system has positive unbounded solutions when p2⩾4q>4, or p⩾1+q, q⩽1, completely describing the boundedness character of the system in this case.
论文关键词:System of difference equations,Second order,Boundedness character
论文评审过程:Available online 26 June 2013.
论文官网地址:https://doi.org/10.1016/j.amc.2013.05.015