Cabada Fernández, AlbertoFerreiro Darriba, Juan Bosco2025-02-042025-02-042011Cabada, A., & Ferreiro, J. B. (2011). Existence of positive solutions for nth-order periodic difference equations. Journal of Difference Equations and Applications, 17(6), 935–954. https://doi.org/10.1080/10236190903460412https://hdl.handle.net/10347/39525This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of Difference Equations and Applications on 9 Mai 2011, available at: https://doi.org/10.1080/10236190903460412This paper is devoted to the study of difference equations coupled with periodic boundary value conditions. We deduce the existence of at least one positive solution provided that the nonlinear part of the equation satis_es some monotonicity assumptions and the existence of a positive upper solution. The result is obtained from a new _xed point theorem based on the classical Krasnoselskii's cone expansion/contraction theorem and the constant sign properties of the related Green's function.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Periodic boundary value problemnth order difference equationsNon-zero fixed pointPositive solutionsjournal article10.1080/10236190903460412open access