Article ID Journal Published Year Pages File Type
1710724 Applied Mathematics Letters 2006 5 Pages PDF
Abstract

In this work we show that the following difference equation: xn+1=xn−k1+xn+⋯+xn−k+1,n=0,1,…, where k∈Nk∈N is fixed, has a positive solution which converges to zero. This result solves Open Problem 11.4.10 (a) in [M.R.S. Kulenović, G. Ladas, Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures, Chapman and Hall/CRC, 2001].

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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