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doi:10.1016/j.aml.2006.02.022    
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Copyright © 2006 Elsevier Ltd All rights reserved.

The global attractivity of the rational difference equation View the MathML source

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Kenneth S. Berenhauta, Corresponding Author Contact Information, E-mail The Corresponding Author, John D. Foleya, E-mail The Corresponding Author and Stevo Stevićb, E-mail The Corresponding Author, E-mail The Corresponding Author

aWake Forest University, Department of Mathematics, Winston-Salem, NC 27109, United States

bMathematical Institute of Serbian Academy of Science, Knez Mihailova 35/I, 11000 Beograd, Serbia and Montenegro


Received 1 February 2006; 
accepted 23 February 2006. 
Available online 30 May 2006.

Abstract

This paper studies global asymptotic stability for positive solutions to the equation

View the MathML source
with y−m,y−m+1,…,y−1set membership, variant(0,∞) and 1≤k<m. The paper includes a discussion of stability for a wide class of symmetric rational difference equations which includes the type studied here as well as several other in the recent literature.

Keywords: Rational difference equation; Stability; Symmetry

Article Outline

1. Introduction
2. Preliminaries and notation
3. Convergence of solutions to Eq. (1)
4. Stability for more general rational symmetric functions
Acknowledgements
References

Corresponding Author Contact InformationCorresponding author. Tel.: +1 336 758 5922; fax: +1 336 758 7190.

Applied Mathematics Letters
Volume 20, Issue 1, January 2007, Pages 54-58
 
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