WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Institution Author: search.filters.institutionAuthor.Uğurlu, Ekin (36661368600)Publisher: search.filters.publisher.Tubitak Scientific & Technological Research Council Turkey

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  • Article
    Singular Dirac Systems in the Sobolev Space
    (Tubitak Scientific & Technological Research Council Turkey, 2017) Ugurlu, Ekin
    In this paper we construct Weyl's theory for the singular left-definite Dirac systems. In particular, we prove that there exists at least one solution of the system of equations that lies in the Sobolev space. Moreover, we describe the behavior of the solution belonging to the Sobolev space around the singular point.
  • Article
    Dirac Systems with Regular and Singular Transmission Effects
    (Tubitak Scientific & Technological Research Council Turkey, 2017) Ugurlu, Ekin
    In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl's limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular. To analyze these problems we construct suitable Hilbert spaces with special inner products and linear operators associated with these problems. Using the equivalence of the Lax-Phillips scattering function and Sz-Nagy-Foias characteristic functions we prove that all root vectors of these dissipative operators are complete in Hilbert spaces.