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arXiv · 1312.3052

Completeness of one two-interval boundary value problem with transmission conditions

K. Aydemir·O. Sh. Mukhtarov
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Abstract

This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouville problem together with two supplementary transmission conditions at one interior point. Further we develop Green's function method for spectral analysis of the considered problem in modified Hilbert space.

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K. Aydemir, O. Sh. Mukhtarov. 2013-12-11. Completeness of one two-interval boundary value problem with transmission conditions. https://arxiv.org/abs/1312.3052

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