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2013 Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities
K. Aydemir, O. Sh. Mukhtarov
Abstr. Appl. Anal. 2013(SI62): 1-7 (2013). DOI: 10.1155/2013/503267

Abstract

The purpose of this paper is to investigate some spectral properties of Sturm-Liouville type problems with interior singularities. Some of the mathematical aspects necessary for developing our own technique are presented. By applying this technique we construct some special solutions of the homogeneous equation and present a formula and the existence conditions of Green's function. Furthermore, based on these results and introducing operator treatment in adequate Hilbert space, we derive the resolvent operator and prove self-adjointness of the considered problem.

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K. Aydemir. O. Sh. Mukhtarov. "Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities." Abstr. Appl. Anal. 2013 (SI62) 1 - 7, 2013. https://doi.org/10.1155/2013/503267

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1297.34035
MathSciNet: MR3121519
Digital Object Identifier: 10.1155/2013/503267

Rights: Copyright © 2013 Hindawi

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