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This article is cited in 6 scientific papers (total in 6 papers)
Spectral analysis of discontinuous boundary-value problems with retarded argument
Erdoğan Şen Namik Kemal University, Department of Mathematics, Faculty of Arts and Science,
Tekirdağ, 59030, Turkey
Abstract:
In the paper, we are concerned with spectral properties of discontinuous Sturm–Liouville type problems with retarded argument. We extend and generalize some approaches and results of the classical regular and discontinuous Sturm–Liouville problems. First, we study the spectral properties of a Sturm–Liouville problem on the half-axis and obtain lower bounds for the eigenvalues of this problem. Then we study spectral properties of a Sturm–Liouville problem with discontinuous weight function which contains a spectral parameter in the boundary conditions. We also obtain asymptotic formulas for eigenvalues and eigenfunctions of this problem and bounds for the distance between eigenvalues.
Key words and phrases:
differential equation with retarded argument, eigenparameter, transmission conditions, asymptotics of eigenvalues, bounds for eigenvalues.
Received: 14.07.2016 Revised: 06.06.2017
Citation:
Erdoğan Şen, “Spectral analysis of discontinuous boundary-value problems with retarded argument”, Zh. Mat. Fiz. Anal. Geom., 14:1 (2018), 78–99
Linking options:
https://www.mathnet.ru/eng/jmag690 https://www.mathnet.ru/eng/jmag/v14/i1/p78
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Abstract page: | 156 | Full-text PDF : | 33 | References: | 23 |
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