RT Journal Article
T1 Existence of positive solutions for nth-order periodic difference equations
A1 Cabada Fernández, Alberto
A1 Ferreiro Darriba, Juan Bosco
K1 Periodic boundary value problem
K1 nth order difference equations
K1 Non-zero  fixed point
K1 Positive solutions
AB This 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.
PB Taylor & Francis
YR 2011
FD 2011
LK https://hdl.handle.net/10347/39525
UL https://hdl.handle.net/10347/39525
LA eng
NO Cabada, 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/10.1080/10236190903460412
NO This 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/10.1080/10236190903460412
NO This work has been partially supported by Ministerio de Educación y Ciencia, Spain, project MTM2007-61724, and by Xunta de Galicia, Spain, project PGIDIT06PXIB207023PR
DS Minerva
RD 23 abr 2026