Title of article :
Global Behavior of a Recursive Sequence
Author/Authors :
Yalcinkaya, Ibrahim Necmettin Erbakan University - Faculty of Education - Department of Mathematics, Turkiye , Hamza, Alaa E. Cairo University - Faculty of Science - Department of Mathematics, Egypt , Cinar, Cengiz Gazi Üniversitesi - Faculty of Education - Department of Mathematics, Turkiye
Abstract :
In this paper, we investigate the global behavior of the difference equation xn+1=αxn−m/β+γ ∏j=0kxn−ij, n=0,1,... where the parameters α,β,γ and initial conditions arenon-negative real numbers, {i0 i1 ... ik} is a set of non-negative even integers and m is an odd positive integer.
Keywords :
Difference equation , Global asymptotic stability , Oscillation , Period (m+1) solutions , Semicycles
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
