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2013 Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition
S. C̣aliṣkan, A. Bayramov, Z. Oer, S. Uslu
Rocky Mountain J. Math. 43(6): 1871-1892 (2013). DOI: 10.1216/RMJ-2013-43-6-1871

Abstract

In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two points of discontinuity.

When our problem is continuous the obtained results coincide with the corresponding results in [{\bf3}].

Citation

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S. C̣aliṣkan. A. Bayramov. Z. Oer. S. Uslu. "Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition." Rocky Mountain J. Math. 43 (6) 1871 - 1892, 2013. https://doi.org/10.1216/RMJ-2013-43-6-1871

Information

Published: 2013
First available in Project Euclid: 25 February 2014

zbMATH: 1319.34150
MathSciNet: MR3178447
Digital Object Identifier: 10.1216/RMJ-2013-43-6-1871

Subjects:
Primary: 34L10 , 47E05

Keywords: asymptotic of eigenvalues and eigenfunctions , discontinuous boundaryvalue problems , transmission condition , two-point boundary value problems

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

Vol.43 • No. 6 • 2013
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