|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||On a nonlinear second order system of difference equations||Journal:||Applied Mathematics and Computation||Volume:||219||Issue:||24||First page:||11388||Last page:||11394||Issue Date:||5-Jul-2013||Rank:||M21||ISSN:||0096-3003||DOI:||10.1016/j.amc.2013.05.015||Abstract:||
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.
|Keywords:||Boundedness character | Second order | System of difference equations||Publisher:||Elsevier||Project:||Deanship of Scientific Research (DSR), King Abdulaziz University, Grant No. (11-130/1433 HiCi)|
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