Boundedness character of positive solutions of a max difference equation
Berenhaut, Kenneth S.; Foley, John D.; Stević, Stevo; Berenhaut, Kenneth S.; Department of Mathematics, Wake Forest University; Foley, John D.; Department of Mathematics, Wake Forest University; Stević, Stevo; Mathematical Institute of the Serbian Academy of Science
Журнал:
Journal of Difference Equations and Applications
Дата:
2006
Аннотация:
This paper studies the boundedness character of the positive solutions of the difference equation.where with . We prove that if , then every solution of the equation is bounded, and if and k is even, then there exist positive unbounded solutions. For the case and k odd, we consider the related equation and show that every integer solution is eventually periodic.
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