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Browsing Fen - Edebiyat Fakültesi by Author "Uğurlu, Ekin"

Browsing Fen - Edebiyat Fakültesi by Author "Uğurlu, Ekin"

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  • Second-Order Multiparameter Problems Containing Complex Potentials 
    Erdal, Ibrahim; Uğurlu, Ekin (2022-12)
    In this work, we provide some lower bounds for the number of squarly integrable solutions of some second-order multiparameter differential equations. To obtain the results, we use both Sims and Sleeman’s ideas and the ...
  • Singular conformable sequential differential equations with distributional potentials 
    Baleanu, Dumitru; Jarad, Fahd; Uğurlu, Ekin (Natl Inquiry Services Centre PTY LTD, 2019-03-16)
    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.
  • Singular Dirac systems in the Sobolev space 
    Uğurlu, Ekin (Scientific Technical Research Council Turkey-Tubitak, 2017)
    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, ...
  • Singular dissipative third-order operator and its characteristic function 
    Uğurlu, Ekin (2020-07)
    In this work, we describe well-defined dissipative boundary conditions related with a singular third-order differential equation in lim-3 case at singular point. Using the characteristic function of the corresponding ...
  • Singular Hamiltonian system with several spectral parameters 
    Uğurlu, Ekin (Academic Press Inc Elsevier Science, 2018-05-15)
    In this paper, the Weyl-Titchmarsh theory has been constructed for the singular 2n-dimensional (even order) Hamiltonian system with several spectral parameters. In particular, we consider that the left end point of the ...
  • Singular Hamiltonian system with several spectral parameters II: Odd-order case 
    Uğurlu, Ekin (Academic Press INC Elsevier Science, 2019-08-15)
    In this paper we deal with a singular Hamiltonian system of odd-order with several spectral parameters and we investigate the behavior of the solution of this system at singular point with the aid of the characteristic ...
  • Singular left-definite Hamiltonian systems in the Sobolev space 
    Uğurlu, Ekin; Taş, Kenan; Baleanu, Dumitru (INT Scientific Research Publications, 2017-08)
    This paper is devoted to construct Weyl's theory for the singular left-definite even-order Hamiltonian systems in the corresponding Sobolev space. In particular, it is proved that there exist at least n-linearly independent ...
  • Singular multiparameter dynamic equations with distributional potentials on time scales 
    Uğurlu, Ekin (Natl Inquiry Services Centre, 2017)
    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 ...
  • Some singular third-order boundary value problems 
    Uğurlu, Ekin (2020-03-30)
    In this paper, we consider some singular formally symmetric (self-adjoint) boundary value problems generated by a singular third-order differential expression and separated and coupled boundary conditions. In particular, ...
  • Spectral analysis of the direct sum hamiltonian operators 
    Allahverdiev, Bilender P.; Uğurlu, Ekin (Natl Inquiry Services Centre, 2016-10)
    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 ...
  • The characteristic matrix function of a dissipative Hamiltonian operator 
    Uğurlu, Ekin (2020-08)
    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 ...
  • The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator 
    Uğurlu, Ekin; Bairamov, Elgiz (Springer, 2017-06)
    In this paper, we introduce a new approach for the spectral analysis of a linear second order dissipative differential operator with distributional potentials. This approach is related with the inverse operator. We show ...
  • The spectral analysis of a system of first-order equations with dissipative boundary conditions 
    Uğurlu, Ekin (2021-09-30)
    This paper aims to share some completeness theorems related with a boundary value problem generated by a system of equations and non-self-adjoint (dissipative) boundary conditions. Indeed, we consider a system of equations ...
  • Third-order boundary value transmission problems 
    Uğurlu, Ekin (Scientific Technical Research Council Turkey-Tubitak, 2019-01)
    In this paper, we consider some third-order operators with transmission conditions. In particular, it is shown that such operators are formally symmetric in the corresponding Hilbert spaces and we introduce the resolvent ...