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Global Attractivity and Periodic Character of Difference Equation of Order Four
Journal article   Open access  Peer reviewed

Global Attractivity and Periodic Character of Difference Equation of Order Four

M. A. Obaid, E. M. Elsayed and M. M. El-Dessoky
Discrete dynamics in nature and society, Vol.2012, pp.1-20
01/01/2012
DOI: https://doi.org/10.1155/2012/746738

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
We investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence x(n+1) = ax(n) + ((bx(n-1) + cx(n-2) + dx(n-3))/(alpha x(n-1) + beta x(n-2) + gamma x(n-3))), n = 0, 1, . . ., where the parameters a, b, c, d, alpha, beta, and gamma are positive real numbers and the initial conditions x(-3), x(-2), x(-1), and x(0) are positive real numbers.
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https://doi.org/10.1155/2012/746738View
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