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ON THE MAX-TYPE EQUATION xn+1 = max {An/xn, xn-1}
Journal article

ON THE MAX-TYPE EQUATION xn+1 = max {An/xn, xn-1}

E. M. Elsayed, Bratislav Iricanin and Stevo Stevic
Ars combinatoria, Vol.95, pp.187-192
01/04/2010

Abstract

Mathematics Physical Sciences Science & Technology
It is shown that every well-defined solution to the second-order difference equation in the title, when (A(n))(n is an element of 0) is a two-periodic sequence such that max{A(0), A(1)} >= 0, is eventually periodic with period two. In the case max{A(0), A(1)} < 0 it is shown the existence of unbounded solutions, by describing all solutions in terms of A(0), A(1), x(-1) and x(0).

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