Multi-interval Sturm-Liouville problems with distributional coefficients

Authors

  • A. Goriunov Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

DOI:

https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.02

Keywords:

Sturm-Liouville operator; multi-interval boundary value problem; distributional coefficients; self-adjoint extension; maximal dissipative extension

Abstract

The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions and also all generalized resolvents in terms of boundary conditions are given.

Downloads

Published

2020-06-25

Issue

Vol. 26 No. 2 (2020)

Section

Articles

How to Cite

Goriunov, A. “Multi-Interval Sturm-Liouville Problems With Distributional Coefficients”. Methods of Functional Analysis and Topology, vol. 26, no. 2, June 2020, pp. 103-10, https://doi.org/https://doi.org/10.31392/MFAT-npu26_2.2020.02.