On the Periodicity of a Difference Equation with Maximum
2008 ◽
Vol 2008
◽
pp. 1-11
◽
Keyword(s):
We investigate the periodic nature of solutions of the max difference equationxn+1=max{xn,A}/(xnxn−1),n=0,1,…, whereAis a positive real parameter, and the initial conditionsx−1=Ar−1andx0=Ar0such thatr−1andr0are positive rational numbers. The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005).
2010 ◽
Vol 2010
◽
pp. 1-13
◽
Keyword(s):
2010 ◽
Vol 47
(3)
◽
pp. 401-418
◽
Keyword(s):
2020 ◽
Vol 27
(2)
◽
pp. 165-175
◽
2011 ◽
Vol 2011
◽
pp. 1-17
◽