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On a max-type and a min-type difference equation
Authors:E.M. Elsayed,Bratislav D. Iri   anin
Affiliation:aDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;bFaculty of Electrical Engineering, Bulevar Kralja Aleksandra 73, 11000 Beograd, Serbia
Abstract:This note shows that every positive solution to the following third order non–autonomous max-type difference equation
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when View the MathML source is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation
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Keywords:Max-type difference equation   Positive solution   Period-three solution
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