Completeness of one two-interval boundary value problem with transmission conditions

2013/12/11 by Kadriye Aydemir, Aydemir, K., O. Sh. Mukhtarov +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · doi:10.48550/arxiv.1312.3052

openalex publication_date 2013/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouville problem together with two supplementary transmission conditions at one interior point. Further we develop Green's function method for spectral analysis of the considered problem in modified Hilbert space.

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