Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631551 | Applied Mathematics and Computation | 2011 | 6 Pages |
Abstract
In this note we show that the following systems of difference equationsun+1=vn1+vn,vn+1=un1+un,un+1=vn1+un,vn+1=un1+vn,un+1=un1+vn,vn+1=vn1+unwith n∈N0n∈N0 and complex initial values u0u0 and v0v0, are solvable explicitly by means of Riccati equations, and based on the formulae for the general solutions we present the behaviour of their solutions as n→∞n→∞. While the result is natural for the first system, it is a bit surprising for the other two systems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lothar Berg, Stevo Stević,