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

Published 11 Dec 2013 in math.CA | (1312.3052v1)

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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