Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Publisher: search.filters.publisher.Natl inquiry Services Centre Pty Ltd

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 12
    Citation - Scopus: 14
    Singular Conformable Sequential Differential Equations With Distributional Potentials
    (Natl inquiry Services Centre Pty Ltd, 2019) Baleanu, Dumitru; Jarad, Fahd; Ugurlu, Ekin
    In this paper we consider the singular conformable sequential equation with distributional potentials. We present Weyl's theory in the frame of conformable derivatives. Moreover we give two theorems on limit-point case.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Spectral Analysis of the Direct Sum Hamiltonian Operators
    (Natl inquiry Services Centre Pty Ltd, 2016) Ugurlu, Ekin; Allahverdiev, Bilender P.
    In this paper we investigate the deficiency indices theory and the selfad-joint and nonselfadjoint (dissipative, accumulative) extensions of the minimal symmetric direct sum Hamiltonian operators. In particular using the equivalence of the Lax-Phillips scattering matrix and the Sz.-Nagy-Foias characteristic function, we prove that all root (eigen and associated) vectors of the maximal dissipative extensions of the minimal symmetric direct sum Hamiltonian operators are complete in the Hilbert spaces.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Singular Multiparameter Dynamic Equations With Distributional Potentials on Time Scales
    (Natl inquiry Services Centre Pty Ltd, 2017) Ugurlu, Ekin
    In this paper, we consider both singular single and several multiparameter second order dynamic equations with distributional potentials on semi-infinite time scales. At first we construct Weyls theory for the single singular multiparameter dynamic equation with distributional potentials and we prove that the forward jump of at least one solution of this equation must be squarely integrable with respect to some multiple function which is of one sign and nonzero on the given time scale. Then using the obtained results for the single dynamic equation with several parameters, we investigate the number of the products of the squarely integrable solutions of the singular several equations with distributional potentials and several parameters.