RT Journal Article
T1 Green’s Functions for Reducible Functional Differential Equations
A1 Cabada Fernández, Alberto
A1 Fernández Tojo, Fernando Adrián
K1 Equations with involutions
K1 Equations with reflection
K1 Green’s functions
K1 Hilbert transform
K1 Reducible functional differential equations
K1 Algebraic analysis
AB In this work, we study differential problems in which the reflection operator and the Hilbert transform are involved. We reduce these problems to ODEs in order to solve them. Also, we describe a general method for obtaining the Green’s function of reducible functional differential equations and illustrate it with the case of homogeneous boundary value problems with reflection and several specific examples.
PB Springer
SN 0126-6705
YR 2017
FD 2017-07
LK https://hdl.handle.net/10347/45449
UL https://hdl.handle.net/10347/45449
LA eng
NO Cabada, A., Tojo, F.A.F. Green’s Functions for Reducible Functional Differential Equations. Bull. Malays. Math. Sci. Soc. 40, 1071–1092 (2017). https://doi.org/10.1007/s40840-016-0355-x
NO Alberto Cabada research was partially supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314. F. Adrián F. Tojo research was supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
DS Minerva
RD 23 abr 2026