Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials

Authors

  • N. Pronska Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova, Lviv, 79601, Ukraine 

DOI:

Keywords:

Spectral problem, spectral properties, energy-dependent potentials, Sturm–Liouville operators

Abstract

We study spectral properties of energy-dependent Sturm--Liouville equations, introduce the notion of norming constants and establish their interrelation with the spectra. One of the main tools is the linearization of the problem in a suitable Pontryagin space.

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Published

2013-12-25

Issue

Vol. 19 No. 4 (2013)

Section

Articles

How to Cite

Pronska, N. “Spectral Properties of Sturm-Liouville Equations With Singular Energy-Dependent Potentials”. Methods of Functional Analysis and Topology, vol. 19, no. 4, Dec. 2013, pp. 327-45, https://zen.imath.kiev.ua/index.php/mfat/article/view/557.