On the asymptotic stability of x sub(n) sub(+) sub(1)=(a+x sub(n)x sub(n) sub(-) sub(k))/(x sub(n)+x sub(n) sub(-) sub(k))

We prove that the equilibrium solution of the rational difference equation x sub(n) sub(+) sub(1)=a+x sub(n)x sub(n) sub(-) sub(k)x sub(n)+x sub(n) sub(-) sub(k),n=0,1,2,... where k is a nonnegative integer, a>=0, and x sub(-) sub(k),...,x sub(0)>0, is globally asymptotically stable.

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Bibliographic Details
Published in:	Computers & mathematics with applications (1987) Vol. 56; no. 5; pp. 1172 - 1175
Main Authors:	Abu-Saris, R, Cinar, C, Yalcinkaya, I
Format:	Journal Article
Language:	English
Published:	01-09-2008
Subjects:	Asymptotic properties Difference equations Integers Mathematical models Stability
Online Access:	Get full text
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Description
Summary:	We prove that the equilibrium solution of the rational difference equation x sub(n) sub(+) sub(1)=a+x sub(n)x sub(n) sub(-) sub(k)x sub(n)+x sub(n) sub(-) sub(k),n=0,1,2,... where k is a nonnegative integer, a>=0, and x sub(-) sub(k),...,x sub(0)>0, is globally asymptotically stable.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 content type line 23 ObjectType-Feature-1
ISSN:	0898-1221
DOI:	10.1016/j.camwa.2008.02.028