Boundary Conditions and Spectra of Sturm-Liouville Operators

Rafael del Río ()
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Rafael del Río: Universidad Nacional Autónoma de México, Institute de Investigaciones en Matemáticas Aplicadas y en Sistemas

A chapter in Sturm-Liouville Theory, 2005, pp 217-235 from Springer

Abstract: Abstract This is a discussion of some aspects of the relation between boundary conditions and spectra of Sturm-Liouville operators. It is intended to review results which show how the spectrum behaves when the boundary condition changes. The absolutely continuous part will normally be stable and the more interesting problems concern the behavior of the singular part and coexistence of different spectral types.

Keywords: Continuous Spectrum; Spectral Measure; Spectral Type; Essential Spectrum; Continuous Part (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7359-7_10

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DOI: 10.1007/3-7643-7359-8_10

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