RT Journal Article
T1 Solutions of the first order linear equation with reflection and general linear 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 principles
K1 Periodic conditions
AB This work is devoted to the study of first order linear problems with involution and general linear conditions. We first study the problem in the case of antiperiodic boundary conditions, giving an explicit Green's function for it. Then we move forward to more general linear boundary conditions, focusing on sufficient conditions for existence and uniqueness of solution. At the end of the paper we give estimates that ensure the positivity of the solution in the general problems and illustrate these applications with examples
PB IFNA Publishers, Inc.
YR 2013
FD 2013
LK https://hdl.handle.net/10347/45979
UL https://hdl.handle.net/10347/45979
LA eng
NO Cabada, A. and Tojo, F. A. Solutions of the first order linear equation with reflection and general linear conditions. In: Global Journal of Mathematical Sciences, Vol 2, No 1 (2013)
DS Minerva
RD 24 abr 2026