Please use this identifier to cite or link to this item: http://dspace.centre-univ-mila.dz/jspui/handle/123456789/185
Title: Dynamic behavior of a second-order nonlinear rational difference equation
Authors: Yasine, Halim
Keywords: Global stability, difference equations, local asymptotic stability, periodicity
Issue Date: 30-Nov-2015
Publisher: Turkish Journal of Mathematics
Series/Report no.: 10.3906;
Abstract: This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b kΣ􀀀1 j=1 xj nxk􀀀j n􀀀1 + cxk n􀀀1 Axk n + B kΣ􀀀1 j=1 xj nxk􀀀j n􀀀1 + Cxk n􀀀1 ; k = 3; 4; :::; n = 0; 1; :::; where the parameters a, b , c , A, B, C and the initial values x0 , x􀀀1 are arbitrary positive real numbers.
Description: This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation xn+1 = axk n + b kΣ􀀀1 j=1 xj nxk􀀀j n􀀀1 + cxk n􀀀1 Axk n + B kΣ􀀀1 j=1 xj nxk􀀀j n􀀀1 + Cxk n􀀀1 ; k = 3; 4; :::; n = 0; 1; :::; where the parameters a, b , c , A, B, C and the initial values x0 , x􀀀1 are arbitrary positive real numbers.
URI: http://dspace.centre-univ-mila.dz/jspui/handle/123456789/185
ISSN: 1503-80
Appears in Collections:Mathematics and Computer Science

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