Scopus İndeksli Yayınlar Koleksiyonu

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

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Subject: search.filters.subject.Weyl TheoryWoS Q: search.filters.wosQuartile.Q2

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Now showing 1 - 3 of 3
  • Article
    Citation - WoS: 4
    Citation - Scopus: 4
    Discrete Left-Definite Hamiltonian Systems
    (Wilmington Scientific Publisher, Llc, 2023) Ugurlu, Ekin
    In this paper we consider an even-dimensional discrete Hamiltonian system on the set of nonnegative integers in the left-definite form. Using the inertia indices of the hermitian form related with the solutions of the equation we construct some maximal subspaces of the solution space. After constructing some ellipsoids preserving nesting properties we introduce a lower bound for the number of Dirichlet-summable solutions of the equation. Moreover we introduce a limit-point criterion.
  • 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: 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.