MMN-1229

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

K. Aydemir; O. SH. Mukhtarov;

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 sup- plementary transmission conditions at one interior point. Further we develop Green's function method for spectral analysis of the considered problem in mod- i¯ed Hilbert space.


Vol. 15 (2014), No. 2, pp. 293-303
DOI: https://doi.org/10.18514/MMN.2014.1229


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