The global asymptotic stability of a system of difference equations
Mehmet Gumus
article (Uluslararası, Hakemli) | Yazar(lar): Mehmet Gumus | Yıl: 2018 | Dergi/Kurum: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | İndeks: WOS.SCI | DOI: 10.1080/10236198.2018.1443445 | Anahtar Kelimeler: Difference equation, boundedness, global asymptotic stability, rate of convergence — Özet: This paper deals w
This paper deals with the global asymptotic stability of the unique positive equilibrium point and the rate of convergence of positive solutions of the system of two recursive sequences xn+ 1 = A + (yn- m/ yn), yn+ 1 = A + (xn- m/ xn), n = 0, 1,..., and m. Z+, where A. (0,8), x- i and y- i are arbitrary positive numbers for i = 0, 1,..., m. Also, we present some results about the general behaviour of solutions of aforementioned system. Finally, some numerical examples are given to demonstrate the effectiveness of the results obtained.