Title of article
Dynamics and behaviors of a third-order system of difference equation
Author/Authors
Ji, Wenqiang Naval Aeronautical and Astronautical University Yantai - Institute of Systems Science and Mathematics, China , Zhang, Decun Naval Aeronautical and Astronautical University Yantai - Institute of Systems Science and Mathematics, China , Wang, Liying Naval Aeronautical and Astronautical University Yantai - Institute of Systems Science and Mathematics, China
From page
1
To page
6
Abstract
Motivated by an Conjecture in the literature “Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture”, we introduce a difference equation system: xn+1 = yn + yn−2 /xn−1,yn+1= xn + xn−2/ yn−1 where xi, yi ∈ (0,∞), i ∈ {−2,−1, 0}. If the initial value satisfy xi = yi, i = {−2,−1, 0}, then the system reduces into the Conjecture. In this paper, we investigate the asymptotic behaviors, periodicity and oscillatory of the system.
Keywords
Difference equation system , Third order , Periodic , four solution , Oscillatory
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569070
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