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Asymptotic formulas for eigenvalues and eigenfunctions of a new boundary-value-transmission problem

2013/03/27 by O. Sh. Mukhtarov, Mukhtarov, O. Sh., K. Aydemir +1 · 1 citation
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1303.6888

arxiv created 2013/03/27 · arxiv updated 2013/03/28

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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