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

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  • Article
    Citation - WoS: 7
    Citation - Scopus: 6
    Dirac Systems With Regular and Singular Transmission Effects
    (2017) Uğurlu, 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 Foia¸s characteristic functions we prove that all root vectors of these dissipative operators are complete in Hilbert spaces.
  • Article
    Citation - WoS: 1
    Singular Dirac Systems in the Sobolev Space
    (2017) Uğurlu, 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.