RT Journal Article
T1 Positive periodic solutions for impulsive differential equations with infinite delay and applications to integro‐differential equations
A1 Buedo Fernández, Sebastián
A1 Faria, Teresa
K1 Delay differential equations
K1 Fixed‐point theorems in cones
K1 Impulses
K1 Infinite delay
K1 Positive periodic solution
K1 Volterra integro‐differential equations
AB Sufficient 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.
PB Wiley
YR 2020
FD 2020
LK http://hdl.handle.net/10347/24259
UL http://hdl.handle.net/10347/24259
LA eng
NO 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. https://doi.org/10.1002/mma.6100
NO This 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-archiving
NO This work was supported by Ministerio de Educacion, Cultura y Deporte (Spain) under grant FPU16/04416 (Sebastián Buedo-Fernández) and by Fundação para a Ciência e a Tecnologia (Portugal) under project UID/MAT/04561/2019 (Teresa Faria)
DS Minerva
RD 28 abr 2026