Proceedings of the International Conference on Geometry, Integrability and Quantization

On a Basic Problem for a Second Order Differential Equation With a Discontinuous Coefficient and a Spectral Parameter in the Boundary Conditions

Khanlar R. Mamedov

Abstract

In the present paper we investigate the completeness, minimality and basic properties of the eigenfunctions of one discontinuous Sturm–Liouville problem with a spectral parameter in boundary conditions and transmission conditions.

Article information

Source
Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Manuel de León, eds. (Sofia: Softex, 2006), 218-225

Dates
First available in Project Euclid: 14 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436909357

Digital Object Identifier
doi:10.7546/giq-7-2006-218-225

Mathematical Reviews number (MathSciNet)
MR2228374

Zentralblatt MATH identifier
1109.34061

Citation

Mamedov, Khanlar R. On a Basic Problem for a Second Order Differential Equation With a Discontinuous Coefficient and a Spectral Parameter in the Boundary Conditions. Proceedings of the Seventh International Conference on Geometry, Integrability and Quantization, 218--225, Softex, Sofia, Bulgaria, 2006. doi:10.7546/giq-7-2006-218-225. https://projecteuclid.org/euclid.pgiq/1436909357


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