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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 1

ASYMPTOTIC DISTRIBUTION OF EIGENVALUES FOR FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS COEFFICIENTS AN

MUSTAFA KANDEMİR

Sayfa
133–152
DOI
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Abstract

We investigate a fourth-order boundary value problem with discontinuous coe¢ cients, functional many points and transmission conditions.In this problem, boundary conditions contain not only endpoints of the considered interval, but also a point of discontinuity, a ...nite number internalpoints and abstract linear functionals. We discuss asymptotic distribution ofits eigenvalues. Finally, we obtain asymptotic formulas for the eigenvalues ofthe problem in sectors of the complex plane.