International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 53-56, Pages 2915-2926
doi:10.1155/S0161171204402270
On a difference equation with min-max response
George L. Karakostas1
and Stevo Stević2
1Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
2Mathematical Institute of the Serbian Academy of Sciences and Arts, Knez Mihailova 35, Beograd 11000, Serbia
Abstract
We investigate the global behavior of the (positive) solutions of the difference equation xn+1=αn+F(xn,…,xn−k), n=0,1,…, where (αn) is a sequence of positive reals and F is a min-max function in the sense introduced here. Our results extend several results obtained in the literature.