Green's functions and spectral theory for the Hill's Equation

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2016_ApMathComp_Cabada_Green.pdf (316.34 KB)
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URI: https://hdl.handle.net/10347/45627
ISSN: 0096-3003
E-ISSN: 1873-5649
DOI: 10.1016/j.amc.2016.03.039

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2016-08-05

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Elsevier
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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. 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

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Green’s function| Periodic problem| Separated boundary conditions| Spectral theory| Comparison results

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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)

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)