On a Max-Type Difference Equation

Yalçinkaya, I.; Iricanin, B. D.; Çinar, C.

doi:https://doi.org/10.1155/2007/47264

Discrete Dynamics in Nature and Society

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Research Article | Open Access

Volume 2007 | Article ID 047264 | https://doi.org/10.1155/2007/47264

On a Max-Type Difference Equation

I. Yalçinkaya,¹B. D. Iricanin,²and C. Çinar¹

Received17 Dec 2007

Accepted24 Dec 2007

Published19 Mar 2008

Abstract

We study the behaviour of the solutions of the following difference equation with the max operator: xn+1=max{1/xn,Axn−1}, n∈ℕ0, where parameter A∈ℝ and initial values x−1 and x0 are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions in the terms of the initial values x−1 and x0 and the parameter A.

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Copyright © 2007 I. Yalçinkaya et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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