Patterns of boundedness of the rational system x <sub> n+1</sub> = α <sub>1</sub> / (A <sub>1</sub> + B <sub>1</sub> x <sub> n </sub> + C <sub>1</sub> y <sub> n </sub>) and y <sub> n+1</sub> = (α<sub>2</sub> + β <sub>2</sub> x <sub> n </sub> + γ <sub>2</sub> y <sub> n </sub>) / (A <sub>2</sub> + B <sub>2</sub> x <sub> n </sub> + C <sub>2</sub> y <sub> n </sub>)
Camouzis, E.; Drymonis, E.; Ladas, G.; Tikjha, W.; Camouzis, E.; Department of Mathematics, American College of Greece; Drymonis, E.; Department of Mathematics, University of Rhode Island; Ladas, G.; Department of Mathematics, University of Rhode Island; Tikjha, W.; Department of Mathematics, University of Rhode Island
Журнал:
Journal of Difference Equations and Applications
Дата:
2012
Аннотация:
We investigate the boundedness character of non-negative solutions of the rational system as in the title. We establish easily verifiable necessary and sufficient conditions, explicitly stated in terms of the parameters of the system, which determine the boundedness character of the system.
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