Selfadjoint realization of boundary-value problems with interior singularities

2013/03/27 by Kadriye Aydemir, K. Aydemir, Aydemir, K. +2
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.CA #math.MP

paper · pdf · doi:10.48550/arxiv.1303.6890

arxiv created 2013/03/27 · openalex publication_date 2013/03/27 · arxiv updated 2013/03/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to investigate some spectral properties of Sturm-Liouville type problems with interior singularities. Some of the mathematical aspects necessary for developing own technique presented. By applying this technique we construct some special solutions of the homogeneous equation and present a formula and the existence conditions of Green's function. Further based on this results and introducing operator treatment in adequate Hilbert space we derive the resolvent operator and prove selfadjointness of the considered problem.

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