RT Journal Article
T1 Green's functions and spectral theory for the Hill's Equation
A1 Cabada Fernández, Alberto
A1 Cid Araújo, José Ángel
A1 López Somoza, Lucía
K1 Green’s function
K1 Periodic problem
K1 Separated boundary conditions
K1 Spectral theory
K1 Comparison results
AB The aim of this paper is to show certain properties of the Green’s functions related to the Hill’s equation coupled with various two point boundary value conditions. We will obtain the expression of the Green’s function of Neumann, Dirichlet, Mixed and anti-periodic problems as a combination of the Green’s function related to periodic ones.As a consequence we will prove suitable results in spectral theory and deduce some comparison results for the solutions of the Hill’s equation with various boundary value conditions
PB Elsevier
SN 0096-3003
YR 2016
FD 2016-08-05
LK https://hdl.handle.net/10347/45627
UL https://hdl.handle.net/10347/45627
LA eng
NO Alberto Cabada, José A. Cid, Lucía López-Somoza, Green’s functions and spectral theory for the Hill’s equation, Applied Mathematics and Computation, Volume 286, 2016, Pages 88-105, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2016.03.039. (https://www.sciencedirect.com/science/article/pii/S0096300316302405)
DS Minerva
RD 29 abr 2026