On the boundedness and local stability of

We show that every positive solution of the difference equation in the title is bounded whenever and . This confirms a conjecture posed by Amleh et al.. We also establish local asymptotic stability properties of the difference equation.

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Bibliographic Details
Published in:Journal of difference equations and applications 2007-11, Vol.13 (11), p.1059-1063
Main Authors: Knopf, Peter M., Huang, Ying Sue
Format: Article
Language:English
Subjects:
Asymptotic stability
Boundedness
Difference equation
Third order
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Description
Summary:We show that every positive solution of the difference equation in the title is bounded whenever and . This confirms a conjecture posed by Amleh et al.. We also establish local asymptotic stability properties of the difference equation.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190701414801