Uğurlu, EkinAllahverdiev, Bilender P.Uğurlu, Ekin2018-09-122018-09-122015Allahverdiev, B.P., Uğurlu, E. (2015). On dilation, scattering and spectral theory for two-interval singular differential operators. Bulletin Mathematique De La Societe Des Sciences Mathematiques De Roumanie, 58(4), 383-392.1220-3874https://hdl.handle.net/20.500.12416/1702This paper aims to construct a space of boundary values for minimal symmetric singular impulsive-like Sturm-Liouville (SL) operator in limit-circle case at singular end points a, b and regular inner point c. For this purpose all maximal dissipative, accumulative and self-adjoint extensions of the symmetric operator are described in terms of boundary conditions. We construct a self-adjoint dilation of maximal dissipative operator, a functional model and we determine its characteristic function in terms of the scattering matrix of the dilation. The theorem verifying the completeness of the eigenfunctions and the associated functions of the dissipative SL operator is proved.eninfo:eu-repo/semantics/openAccessImpulsive-Like Sturm-Liouville OperatorExtensions Of The Symmetric OperatorDissipative OperatorSelf-Adjoint DilationCompleteness Of The Eigenfunctions And The Associated FunctionsArticle584383392