On the asymptotically periodic solution of some linear difference equations

Jerzy Popenda; Ewa Schmeidel

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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.