On a k-Order System of Lyness-Type Difference Equations

By Garyfalos Papaschinopoulos, Christos J. Schinas, Gesthimani Stefanidou. 2007

74 citations recorded by the source corpus.

We consider the following system of Lyness-type difference equations: , , , , where , , , are positive constants, is an integer, and the initial values are positive real numbers. We study the existence of invariants, the boundedness, the persistence, and the periodicity of the positive solutions of this system.

Subfields: Geometry and Topology, Mathematical Physics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/5a37b535084a37612431c658c7a72514c8536a50

Citations in the corpus

• Note on the bilinear difference equation with a delay (2018, unknown): “Using notation (45), we can write (42) as the set of the following k + 1 difference equations z j) m = f ( z j) m−1, z ( j) m−2, · · ·, z ( j) m−s ) , m ∈ N0, (46)”
• Global asymptotic stability of a system of difference equations (2008, unknown): “[9] studied the system of difference equations”