DocumentCode :
2860872
Title :
Qualitative Behavior of a Rational Difference Equation x_{n+1}=ax_n^2/(cx_n+bx_{n-1})
Author :
Qian, Xiao ; Qi-hong, Shi
Author_Institution :
Dept. of Basic Courses, Hebei Finance Univ., Baoding, China
fYear :
2011
fDate :
14-17 Oct. 2011
Firstpage :
151
Lastpage :
154
Abstract :
This paper is concerned with the following rational difference equation xn+1 = axn2 /(cxn + bxn-1), with the initial conditions x-1, x0 ∈(0, +∞), and a,b,c, ϵ R+. Locally asymptotically stability, global attractivity and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.
Keywords :
asymptotic stability; difference equations; rational functions; asymptotic stability; qualitative behavior; rational difference equation; Asymptotic stability; Difference equations; Mathematical model; Numerical simulation; Numerical stability; Stability analysis; Attractivity; Boundedness; Global stability; Numerical simulation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on
Conference_Location :
Wuxi
Print_ISBN :
978-1-4577-0327-0
Type :
conf
DOI :
10.1109/DCABES.2011.71
Filename :
6118582
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2860872
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