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Papaschinopoulos, G.; Schinas, C. J.

Invariants and oscillation for systems of two nonlinear difference equations. (English) Zbl 1003.39007

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 7, 967-978 (2001).
This paper is devoted to the invariants, boundedness and persistence of solutions for systems of two nonlinear difference equations of order \(k+1\) of a special rational form. The authors also study the oscillatory behavior of the solutions of a system of two difference equations of rational form \[ x_{n+1}= {1+y_n\over y_{n-1}},\;y_{n+1}= {1+x_n\over x_{n-1}}, n=0,1,\dots. \]
Reviewer: Peng Mingshu (Beijing)

Cited in 1 Review
Cited in 62 Documents

MSC:

39A11 Stability of difference equations (MSC2000)
39B05 General theory of functional equations and inequalities

Keywords:

periodicity; oscillation; invariants; boundedness; persistence; systems; nonlinear difference equations
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\textit{G. Papaschinopoulos} and \textit{C. J. Schinas}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 7, 967--978 (2001; Zbl 1003.39007)
Full Text: DOI

References:

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