BEHAVIOUR OF SOLUTIONS FOR A SYSTEM OF TWO HIGHER-ORDER DIFFERENCE EQUATIONS
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, we investigate the global behavior of the positive solutions of the system of difference equations u(n+1) = au(n-k)/b + c Pi(k)(i=0) v(n-i)(r), v(n+1) = dv(n-k)/e + f Pi(k)(i=0) u(n-i)(r), n is an element of N-0, where the initial conditions u(-i), v(-i), (i = 0,...,k), and the parameters a, b, c, d, e, f, r are positive real numbers, by extending some recent results in the literature. Also, we estimate the rate of convergence of a solution that converges to the zero equilibrium point of the above mentioned system.
Description
Keywords
System of difference equations, Stability, Global behavior, Periodic solution, Rate of convergence
Journal or Series
JOURNAL OF SCIENCE AND ARTS
WoS Q Value
N/A
Scopus Q Value
Volume
Issue
4
