Green’s functions and spectral theory for the Hill’s equation

Alberto Cabada, José A. Cid and Lucía López-Somoza

Applied Mathematics and Computation, 2016, vol. 286, issue C, 88-105

Abstract: 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.

Keywords: Green’s function; Periodic problem; Separated boundary conditions; Spectral theory; Comparison results (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316302405
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:286:y:2016:i:c:p:88-105

DOI: 10.1016/j.amc.2016.03.039

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().