Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions | Zendy

Mustafa Kandemir | Zendy

Open Access

Asymptotic distribution of eigenvalues for fourth-order boundary value problem with discontinuous coefficients and transmission conditions

Author(s) -

Mustafa Kandemir

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000783

Subject(s) - boundary value problem , eigenvalues and eigenvectors , mathematical analysis , mathematics , distribution (mathematics) , value (mathematics) , order (exchange) , asymptotic distribution , transmission (telecommunications) , physics , statistics , computer science , finance , quantum mechanics , estimator , economics , telecommunications

We investigate a fourth-order boundary value problem with discontinuous coeffi 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 finite number internal points and abstract linear functionals. We discuss asymptotic distribution of its eigenvalues. Finally, we obtain asymptotic formulas for the eigenvalues of the problem in sectors of the complex plane.

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