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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 kΣ1 j=1 xj nxkj n1 + cxk n1 Axk n + B kΣ1 j=1 xj nxkj n1 + Cxk n1 ; k = 3; 4; :::; n = 0; 1; :::; where the parameters a, b , c , A, B, C and the initial values x0 , x1 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 kΣ1 j=1 xj nxkj n1 + cxk n1 Axk n + B kΣ1 j=1 xj nxkj n1 + Cxk n1 ; k = 3; 4; :::; n = 0; 1; :::; where the parameters a, b , c , A, B, C and the initial values x0 , x1 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 |
Files in This Item:
File | Description | Size | Format | |
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Halim Yacine 5.pdf | 129,57 kB | Adobe PDF | View/Open |
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