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

2015/12/21 by Alexander Makin, Makin, Alexander
Mathematics · #34L10 #FOS: Mathematics #Spectral Theory (math.SP) #math.SP #msc:34L10

paper · pdf · doi:10.48550/arxiv.1512.06584

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

arxiv created 2015/12/21 · arxiv updated 2015/12/22

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.

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