On some difference equations with eventually periodic solutions
type: Item
instance of: scholarly article
title: On some difference equations with eventually periodic solutions
zbMATH Open document ID: 0911.39005
author: A. M. Amleh
author: E. A. Grove
author: G. Ladas
author: C. M. Kent
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-10-26T00:00:00Z
review text: The authors study the boundedness and the periodic character of the solutions of the equation \[ \begin{aligned} x_n & ={\alpha x_n +\beta x_{n-1} \over 2}, \quad \text{if }x_n+x_{n-1} \text{ is even}; \\ x_n & =\gamma x_n+ \partial x_{n-1}, \quad \text{if } x_n+x_{n-1} \text{ is odd, }n=0,1, \dots \end{aligned} \] where \(x_{-1}\), \(x_0\in Z\) and \(\alpha, \beta,\gamma,\partial \in\{-1,1\}\).
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 1215670
zbMATH Keywords: bounded solutions
zbMATH Keywords: difference equations
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
OpenAlex ID: W2055470967
cites work: Q4390719
cites work: Open problems and conjectures
cites work: The 3x + 1 Problem and Its Generalizations
DOI: 10.1006/JMAA.1998.5971
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description: scientific article; zbMATH DE number 1215670