RT Journal Article
T1 Solutions and Green’s function of the first order linear equation with reflection and initial conditions
A1 Cabada Fernández, Alberto
A1 Fernández Tojo, Fernando Adrián
K1 Equations with involutions
K1 Equations with reflection
K1 Green's functions
K1 Maximum principles
K1 Comparison principloes
K1 Periodic conditions
AB This work is devoted to the study of the existence and sign of Green’s functions for first order linear problems with constant coefficients and initial (one point) conditions. We first prove a result on the existence of solutions of nth order linear equations with involutions via some auxiliary functions to later prove a uniqueness result in the first order case. We study then different situations for which a Green’s function can be obtained explicitly and derive several results in order to obtain information as regards the sign of the Green’s function. Once the sign is known, optimal maximum and anti-maximum principles follow
PB Springer International Publishing
SN 10.1186/1687-2770-2014-99
YR 2014
FD 2014
LK http://hdl.handle.net/10347/16906
UL http://hdl.handle.net/10347/16906
LA eng
NO Cabada, A. & Tojo, F.A.F. Bound Value Probl (2014) 2014: 99. https://doi.org/10.1186/1687-2770-2014-99
NO FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314. FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
DS Minerva
RD 26 abr 2026