Scopus İndeksli Yayınlar Koleksiyonu

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

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  • Article
    Citation - WoS: 9
    Citation - Scopus: 8
    Scattering and Spectral Problems of the Direct Sum Sturm-Liouville Operators
    (Ministry Communications & High Technologies Republic Azerbaijan, 2017) Allahverdiev, Bilender P.; Uğurlu, Ekin; Ugurlu, Ekin; Matematik
    In this paper a space of boundary values is constructed for direct sum minimal symmetric Sturm-Liouville operators and description of all maximal dissipative, maximal accumulative, selfadjoint and other extensions of such a symmetric operator is given in terms of boundary conditions. We construct a selfadjoint dilation of dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of the dilation. We also construct a functional model of the dissipative operator and define its characteristic function. We prove a theorem on completeness of the system of eigenfunctions and associated functions of the dissipative operators.
  • Article
    The Characteristic Matrix Function of a Dissipative Hamiltonian Operator
    (Wiley, 2021) Ugurlu, Ekin
    In this paper, we consider a singular dissipative even-order Hamiltonian operator with a finite number of transmission conditions. Using coordinate-free approach, we construct the characteristic matrix-function of the Cayley transform of the dissipative operator. Using the equivalence of completeness property of root functions of Cayley transform and dissipative operator, we prove some completeness theorems. Moreover, we construct an explicit form of the resolvent operator of dissipative operator.
  • Article
    Citation - WoS: 12
    Citation - Scopus: 15
    A Novel Method To Detect Almost Cyclostationary Structure
    (Elsevier, 2020) Baleanu, Dumitru; Bui Anh Tuan; Kim-Hung Pho; Mahmoudi, Mohammad Reza; Pho, Kim-hung; Tuan, Bui Anh; Anh Tuan, Bui
    This paper is devoted to establish a computational approach to investigate that a discrete-time almost cyclostationary model is a suitable choice to fit on an observed dataset. The main idea is estimating the support of spectra and applying multiple testing. The simulated and real datasets are applied to study the performance of the introduced approach. The results confirm that the presented method acts efficiently in view of power study. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
  • Article
    Citation - WoS: 6
    Citation - Scopus: 6
    On Square Integrable Solutions of a Fractional Differential Equation
    (Elsevier Science inc, 2018) Ugurlu, Ekin; Baleanu, Dumitru; Tas, Kenan
    In this paper we construct the Weyl-Titchmarsh theory for the fractional Sturm-Liouville equation. For this purpose we used the Caputo and Riemann-Liouville fractional operators having the order is between zero and one. (C) 2018 Elsevier Inc. All rights reserved.