Dynamics of a second-order system of nonlinear difference equations
عنوان مقاله: Dynamics of a second-order system of nonlinear difference equations
شناسه ملی مقاله: JR_IJNAA-11-2_030
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_IJNAA-11-2_030
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
- - - Kırklareli University, Pınarhisar Vocational School, Kırklareli, Turkey
خلاصه مقاله:
- - - Kırklareli University, Pınarhisar Vocational School, Kırklareli, Turkey
In this paper, we investigate the equilibrium points, stability of two equilibrium points, convergences of negative equilibrium point, periodic solutions, and existence of bounded or unbounded solutions of a system of nonlinear difference equationsx_{n+۱}=x_{n-۱}y_{n}-۱,y_{n+۱}=y_{n-۱}x_{n}-۱n=۰,۱,..., where the initial values are real numbers. Additionally we present some numerical examples to verify our theoretical results.
کلمات کلیدی: difference equation, stability, Global Stability, periodicity, eventually periodicity
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561603/