Unboundedness results for systems

We study k th order systems of two rational difference equations In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.

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Bibliographische Detailangaben
Veröffentlicht in:	Central European journal of mathematics 2009-12, Vol.7 (4), p.741-756
Hauptverfasser:	Lugo, Gabriel, Palladino, Frank J.
Format:	Artikel
Sprache:	eng
Schlagworte:	39A10 39A11 Algebra Difference equation Difference equations Geometry Initial conditions Lie Groups Mathematics Mathematics and Statistics Number Theory Parameters Probability Theory and Stochastic Processes Research Article Systems Topological Groups Unbounded solutions
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Beschreibung
Zusammenfassung:	We study k th order systems of two rational difference equations In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.
ISSN:	1895-1074 2391-5455 1644-3616 2391-5455
DOI:	10.2478/s11533-009-0051-2