Spectral analysis of eigenparameter dependent boundary value transmission problems |
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Authors: | Ekin Uğurlu Elgiz Bairamov |
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Institution: | Ankara University, Department of Mathematics, 06100 Tando?an, Ankara, Turkey |
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Abstract: | In this paper, the singular second order differential operators are considered defined on the multi-interval. Some boundary and transmission conditions are imposed on the maximal domain functions with the spectral parameter. After constructing the differential operators associated with the boundary value transmission problems on the suitable Hilbert spaces, it is proved that these operators are the maximal dissipative operators. Finally constructing the model operators which are established with the help of the scattering functions, it is proved that all root vectors of the maximal dissipative operators are complete in the Hilbert spaces. |
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Keywords: | Dissipative operator Transmission conditions Characteristic function Scattering function Completeness theorem |
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