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Asymptotic formulas for eigenvalues and eigenfunctions of boundary value problem

2013/03/27 by O. Sh. Mukhtarov, Mukhtarov, O. Sh., Kadriye Aydemir +2
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.CA

paper · pdf · doi:10.48550/arxiv.1303.6948

arXiv admin note: substantial text overlap with arXiv:1303.6888

arxiv created 2013/03/27 · openalex publication_date 2013/03/27 · arxiv updated 2013/03/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we are concerned with a new class of BVP' s consisting of eigendependent boundary conditions and two supplementary transmission conditions at one interior point. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigenfunction.

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