ON THE PERIODICITY OF SOLUTIONS OF A SYSTEM OF RATIONAL DIFFERENCE EQUATIONS

Authors : Abdullah KURBANLI, Çağla YALÇINKAYA

Pages : 1-8

View : 19 | Download : 6

Publication Date : 2020-10-30

Article Type : Research Paper

Abstract :In this paper, we have investigated the periodicity of the well-defined solutions of the system of difference equations uinsert ignore into journalissuearticles values(n+1);=insert ignore into journalissuearticles values(uinsert ignore into journalissuearticles values(n-1);+vinsert ignore into journalissuearticles values(n););/insert ignore into journalissuearticles values(alpha*insert ignore into journalissuearticles values(uinsert ignore into journalissuearticles values(n-1);*vinsert ignore into journalissuearticles values(n);-1); , vinsert ignore into journalissuearticles values(n+1);=insert ignore into journalissuearticles values(vinsert ignore into journalissuearticles values(n-1);+uinsert ignore into journalissuearticles values(n););/insert ignore into journalissuearticles values(alpha*insert ignore into journalissuearticles values(vinsert ignore into journalissuearticles values(n-1);*uinsert ignore into journalissuearticles values(n);-1);, winsert ignore into journalissuearticles values(n+1);=uinsert ignore into journalissuearticles values(n);/vinsert ignore into journalissuearticles values(n); where uinsert ignore into journalissuearticles values(0);, uinsert ignore into journalissuearticles values(-1);, vinsert ignore into journalissuearticles values(0);, vinsert ignore into journalissuearticles values(-1);, winsert ignore into journalissuearticles values(0);, winsert ignore into journalissuearticles values(-1); non zore reel numbers and alpha positive reel numbers. In this paper, we have investigated the periodicity of the well-defined solutions of the system of difference equations uinsert ignore into journalissuearticles values(n+1);=insert ignore into journalissuearticles values(uinsert ignore into journalissuearticles values(n-1);+vinsert ignore into journalissuearticles values(n););/insert ignore into journalissuearticles values(alpha*insert ignore into journalissuearticles values(uinsert ignore into journalissuearticles values(n-1);*vinsert ignore into journalissuearticles values(n);-1); , vinsert ignore into journalissuearticles values(n+1);=insert ignore into journalissuearticles values(vinsert ignore into journalissuearticles values(n-1);+uinsert ignore into journalissuearticles values(n););/insert ignore into journalissuearticles values(alpha*insert ignore into journalissuearticles values(vinsert ignore into journalissuearticles values(n-1);*uinsert ignore into journalissuearticles values(n);-1);, winsert ignore into journalissuearticles values(n+1);=uinsert ignore into journalissuearticles values(n);/vinsert ignore into journalissuearticles values(n); where uinsert ignore into journalissuearticles values(0);, uinsert ignore into journalissuearticles values(-1);, vinsert ignore into journalissuearticles values(0);, vinsert ignore into journalissuearticles values(-1);, winsert ignore into journalissuearticles values(0);, winsert ignore into journalissuearticles values(-1); non zore reel numbers and alpha positive reel numbers.
Keywords : Difference equation, , system, solutions, periodicity