Solutions of the Difference Equation 𝑥𝑛+1=𝑥𝑛𝑥𝑛−1−1

Solutions of the Difference Equation 𝑥𝑛+1=𝑥𝑛𝑥𝑛−1−1

Our goal in this paper is to investigate the long-term behavior of solutions of the following difference equation: 𝑥𝑛+1=𝑥𝑛𝑥𝑛−1−1, 𝑛=0,1,2,…, where the initial conditions 𝑥−1 and 𝑥0 are real numbers. We examine the boundedness of solutions, periodicity of solutions, and existence of unbounded solutio...

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Bibliographic Details
Main Authors:	Candace M. Kent, Witold Kosmala, Michael A. Radin, Stevo Stević
Format:	Article
Language:	English
Published:	Hindawi Limited 2010-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2010/469683

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