|Authors:||Stević, Stevo||Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||The recursive sequence xn+1 = g(xn, xn-1)/(A + xn)||Journal:||Applied Mathematics Letters||Volume:||15||Issue:||3||First page:||305||Last page:||308||Issue Date:||1-Jan-2002||Rank:||M23||ISSN:||0893-9659||DOI:||10.1016/S0893-9659(01)00135-5||Abstract:||
In this note, we investigate the periodic character of solutions of the nonlinear, second-order difference equation xn+1 = g(xn, xn-1)/A + xn, where the parameter A and the initial conditions x0 and x1 are positive real numbers. We give sufficient conditions under which every positive solution of this equation converges to a period two solution.
|Keywords:||Difference equation | Period | Positive solution||Publisher:||Elsevier|
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