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Unbounded solutions of the max-type difference equation $x_{n + 1} = m a x \{\frac{A_{n}}{X_{n}}, \frac{B_{n}}{X_{n - 2}}\}$

Christopher Kerbert; Michael Radin — 2008

Open Mathematics

We investigate the boundedness nature of positive solutions of the difference equation $x_{n + 1} = m a x \{\frac{A_{n}}{X_{n}}, \frac{B_{n}}{X_{n - 2}}\}, n = 0, 1, . . .,$ where A nn=0∞ and B nn=0∞ are periodic sequences of positive real numbers.

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Unbounded solutions of the max-type difference equation x n + 1 = m a x A n X n , B n X n - 2

Unbounded solutions of the max-type difference equation $x_{n + 1} = m a x \{\frac{A_{n}}{X_{n}}, \frac{B_{n}}{X_{n - 2}}\}$