论文信息 - On positive solutions of a (k+1)th order difference equation

On positive solutions of a (k+1)th order difference equation

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

Stevo Stevic | S. Stević

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