Alberto Cabada, José A. Cid, Lucía López Somoza
Published 2015-11-03Version 1
The aim of this paper is to show certain properties of the Green's functions related to the Hill's equation coupled with different 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 different boundary value conditions.
Spectral characterization of the constant sign derivatives of Green's function related to two point boundary value conditions
Relationship of the Green's functions related to the Hill's equation coupled to different boundary value conditions
Spectral Theory of Exceptional Hermite Polynomials
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