The Asymptotic Stability of xn+1 − axn + bxn−k = 0

Stability of the Recursive Sequence xn&#

Stability of the Recursive Sequence xn + 1 = (α − βxn)/(γ + xn − 1)

✍ Mona T. Aboutaleb; M.A. El-Sayed; Alaa E. Hamza 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 69 KB

In this paper we investigate the global asymptotic stability of the recursive , n s 0, 1, . . . , where ␣, ␤, ␥ G 0. We show that the unique positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients.