RT Journal Article
T1 Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
A1 Cabada Fernández, Alberto
A1 Fernández Tojo, Fernando Adrián
K1 Equations with involutions
K1 Equations with reflection
K1 Greenʼs functions
K1 Maximum principles
K1 Comparison principles
K1 Periodic conditions
AB This work is devoted to the study of first order linear problems with involution and periodic boundary value conditions. We first prove a correspondence between a large set of such problems with different involutions to later focus our attention to the case of the reflection. We study then different cases for which a Greenʼs function can be obtained explicitly and derive several results in order to obtain information about its sign. Once the sign is known, maximum and anti-maximum principles follow. We end this work with more general existence and uniqueness of solution results
PB Elsevier
SN 0022-247X
YR 2014
FD 2014-04-01
LK https://hdl.handle.net/10347/45928
UL https://hdl.handle.net/10347/45928
LA eng
NO Alberto Cabada, F. Adrián F. Tojo, Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions, Journal of Mathematical Analysis and Applications, Volume 412, Issue 1, 2014, Pages 529-546, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2013.10.067. (https://www.sciencedirect.com/science/article/pii/S0022247X13009839)
NO Partially supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314. Supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
DS Minerva
RD 6 jun 2026