English

On two-point boundary value problems for the Sturm-Liouville operator

Spectral Theory 2015-12-22 v1

Abstract

In this paper, we study spectral problems for the Sturm-Liouville operator with arbitrary complexvalued potential q(x) and two-point boundary conditions. All types of mentioned boundary conditions are considered. We ivestigate in detail the completeness property and the basis property of the root function system.

Keywords

Cite

@article{arxiv.1512.06584,
  title  = {On two-point boundary value problems for the Sturm-Liouville operator},
  author = {Alexander Makin},
  journal= {arXiv preprint arXiv:1512.06584},
  year   = {2015}
}

Comments

This article is an extended version of a lecture given in International Conference "Modern methods in boundary value problems", Voronezsh, Russia, May 3-9, 2015

R2 v1 2026-06-22T12:14:51.068Z