Article ID Journal Published Year Pages File Type
4631551 Applied Mathematics and Computation 2011 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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