Qualitative Behavior of Rational Difference Equation of Big Order. (13th May 2013)

• Record Type: Journal Article
• Authors: El-Dessoky, M. M.
• Other Names: Çinar Cengiz Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2013(2013)
• Publication Date: 2013-05-13
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2013/495838
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence x n + 1 = a x n - l + b x n - x / c + d x n - l x n - k, n = 0, 1, …, where the parameters a, b, c, and d are positive real numbers, and the initial conditions x - t, x - t + 1, …, x - 1 and x 0 are positive real numbers where t = max k, l .