Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 15 Oct 2012Embargo end date: 01 Jan 2012 English Publisher:WileyJournal:Mathematical Methods in the Applied Sciences, volume 36, pages 1,512-1,519 (issn: 0170-4214, eissn: 1099-1476,

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Authors: Şen, Erdoğan; Bayramov, Azad;

doi: 10.1002/mma.2699 , 10.48550/arxiv.1212.2790

arXiv: 1212.2790

handle: 20.500.11776/7359

Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem

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Abstract

In this work, a discontinuous boundary‐value problem with retarded argument that contains a spectral parameter in the transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. Copyright © 2012 John Wiley & Sons, Ltd.

Related Organizations

Recep Tayyip Erdoğan University
Turkey
Namık Kemal University
Turkey

Keywords

Parameter, transmission conditions, Retarded Argument, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, asymptotics of eigenvalues, Mathematics - Spectral Theory, Spectral theory of functional-differential operators, asymptotics of eigenvalues and eigenfunctions, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, differential equation with retarded argument, asymptotics of eigenfunctions, Spectral Theory (math.SP)

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