We investigate the boundedness nature of positive solutions of the difference equation where A nn=0∞ and B nn=0∞ are periodic sequences of positive real numbers.
@article{bwmeta1.element.doi-10_2478_s11533-008-0018-8,
author = {Christopher Kerbert and Michael Radin},
title = {Unbounded solutions of the max-type difference equation \[ x\_{n + 1} = max\left\lbrace {\frac{{A\_n }}{{X\_n }},\frac{{B\_n }}{{X\_{n - 2} }}} \right\rbrace \]
},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {307-324},
zbl = {1154.39007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0018-8}
}
Christopher Kerbert; Michael Radin. Unbounded solutions of the max-type difference equation \[ x_{n + 1} = max\left\lbrace {\frac{{A_n }}{{X_n }},\frac{{B_n }}{{X_{n - 2} }}} \right\rbrace \]
. Open Mathematics, Tome 6 (2008) pp. 307-324. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0018-8/
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