On a System of Two Nonlinear Difference Equations

In this paper we study the oscillatory behavior, the boundedness of the solutions, and the global asymptotic stability of the positive equilibrium of the system of two nonlinear difference equationsxn+1=A+yn/xn−p,yn+1=A+xn/yn−q,n=0,1,…,p,qare positive integers.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1998-03, Vol.219 (2), p.415-426
Main Authors: Papaschinopoulos, G., Schinas, C.J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Summary:In this paper we study the oscillatory behavior, the boundedness of the solutions, and the global asymptotic stability of the positive equilibrium of the system of two nonlinear difference equationsxn+1=A+yn/xn−p,yn+1=A+xn/yn−q,n=0,1,…,p,qare positive integers.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1997.5829