Buedo Fernández, SebastiánFaria, Teresa2021-01-212021-01-212020Buedo‐Fernández, S, Faria, T. Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations. Math Meth Appl Sci. 2020; 43: 3052– 3075. https://doi.org/10.1002/mma.6100http://hdl.handle.net/10347/24259This is the accepted version of the following article: Buedo‐Fernández, S, Faria, T. Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations. Math Meth Appl Sci. 2020; 43: 3052–3075, which has been published in final form at https://doi.org/10.1002/mma.6100. This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving Policy http://www.wileyauthors.com/self-archivingSufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed‐point argument to an original operator constructed here, allow to treat equations incorporating a rather general nonlinearity and impulses whose signs may vary. Applications to some classes of Volterra integro‐differential equations with unbounded or periodic delay and nonlinear impulses are given, extending and improving results in the literature.eng© 2020 John Wiley & Sons, Ltd. This article may be used for non-commercial purposes in accordance with the Wiley Self-Archiving PolicyDelay differential equationsFixed‐point theorems in conesImpulsesInfinite delayPositive periodic solutionVolterra integro‐differential equationsjournal article10.1002/mma.61001099-1476open access