Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
GLOBAL BEHAVIOR OF A THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS OF ORDER THREE
- Sayfa
- 1–16
- DOI
- —
Abstract
In this paper, we investigate the global behavior of the positive solutions of the system of di§erence equations un+1 = 1un1 1 + 1v p n2 ; vn+1 = 2vn1 2 + 2w q n2 ; wn+1 = 3wn1 3 + 3u r n2 for n 2 N0 where the initial conditions ui; vi; wi (i = 0; 1; 2) are nonnegative real numbers and the parameters j ; j ; j (j = 1; 2; 3) and p; q; r are positive real numbers, by extending some results in the l