Note on difference equations with the right-hand side function nonincreasing in each variable
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We present an example of a difference equation of arbitrary order, possessing the right-hand side function that is homogeneous to a certain degree and nonincreasing in each variable, which has a unique positive equilibrium, as well as solutions that do not converge to the equilibrium. The example shows that the main result in the paper: O. Moaaz, Dynamics of difference equation x(n+1) = f (x(n-l), x(n-k)) (Adv. Differ. Equ. 2018:447, 2018), is incorrect.
Document typePeer reviewed
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SourceJournal of Inequalities and Applications. 2022, vol. 2022, issue 1, p. 1-7.
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