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Uğurlu, Ekin

Profile Picture
Profile URL
https://hdl.handle.net/20.500.12416/8729
Name Variants
Uğurlu, E.
Ugurlu, Ekin
Job Title
Prof. Dr.
Email Address
ekinugurlu@cankaya.edu.tr
Main Affiliation
Matematik
Status
Current Staff
Website
ORCID ID
0000-0002-0540-8545
Scopus Author ID
36661368600
Turkish CoHE Profile ID
238990
Google Scholar ID
AFFDfwkAAAAJ
WoS Researcher ID
FZL-3012-2022
Files
01426.jpeg (1.92 MB)

Sustainable Development Goals

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Documents

69

Citations

1107

h-index

14

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Documents

67

Citations

948

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Scholarly Output

59

Articles

58

Views / Downloads

1381/3976

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

634

Scopus Citation Count

655

WoS h-index

8

Scopus h-index

8

Patents

0

Projects

0

WoS Citations per Publication

10.75

Scopus Citations per Publication

11.10

Open Access Source

25

Supervised Theses

0

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JournalCount
Turkish Journal of Mathematics7
Mathematical Methods in the Applied Sciences6
TURKISH JOURNAL OF MATHEMATICS6
Quaestiones Mathematicae6
Advances in Difference Equations3
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Now showing 1 - 10 of 59
  • Thumbnail Image
    Article
    On Singular Fifth-Order Boundary Value Problems With Deficiency Indices (5, 5)
    (Math Soc Serbia-drustvo Matematicara Srbije, 2022) Uğurlu, Ekin; Ugurlu, Ekin; Tas, Kenan; Taş, Kenan; Matematik
    This paper is devoted to introduce a way of construction of the well-defined boundary conditions for the solutions of a singular fifth-order equation with deficiency indices (5, 5). Imposing suitable separated and coupled boundary conditions some properties of the eigenvalues of the problems have been investigated.
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    Article
    On the solutions of a fractional boundary value problem
    (2018) Uğurlu, Ekin; Baleanu, Dumitru; Taş, Kenan
    This paper is devoted to showing the existence and uniqueness of solution of a regular second-order nonlinear fractional differential equation subject to the ordinary boundary conditions. The Banach fixed point theorem is used to prove the results.
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    Article
    Citation - WoS: 5
    Citation - Scopus: 5
    Singular Hamiltonian System With Several Spectral Parameters
    (Academic Press inc Elsevier Science, 2018) Ugurlu, Ekin
    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 interval is regular and the right end point of the interval is singular for the Hamiltonian system with several parameters. Using the nested circles approach, we prove that at least n-linearly independent solutions are squarly integrable with respect to some matrix functions. (C) 2018 Elsevier Inc. All rights reserved.
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    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.
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    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.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    On the Characteristic Functions and Dirchlet-Integrable Solutions of Singular Left-Definite Hamiltonian Systems
    (Taylor & Francis Ltd, 2024) Ugurlu, Ekin; Bairamov, Elgiz; Tas, Kenan
    In this work, a singular left-definite Hamiltonian system is considered and the characteristic-matrix theory for this Hamiltonian system is constructed. Using the results of this theory we introduce a lower bound for the number of Dirichlet-integrable solutions. Moreover we share a relation between the kernel of the solution of the nonhomogeneous boundary value problem and the characteristic-matrix.
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    Article
    On a Fifth-Order Nonselfadjoint Boundary Value Problem
    (Tubitak Scientific & Technological Research Council Turkey, 2021) Ugurlu, Ekin; Tas, Kenan
    In this paper we aim to share a way to impose some nonselfadjoint boundary conditions for the solutions of a formally symmetric fifth-order differential equation. Constructing a dissipative operator related with the problem we obtain some informations on spectral properties of the problem. In particular, using coordinate-free approach we construct characteristic matrix-function related with the contraction which is obtained with the aid of the dissipative operator. In this paper we aim to share a way to impose some nonselfadjoint boundary conditions for the solutions of a formally symmetric fifth-order differential equation. Constructing a dissipative operator related with the problem we obtain some informations on spectral properties of the problem. In particular, using coordinate-free approach we construct characteristic matrix-function related with the contraction which is obtained with the aid of the dissipative
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    A New Hamiltonian System
    (Academic Press inc Elsevier Science, 2020) Ugurlu, Ekin
    This paper aims to share a new first-order differential equation that contains the continuous analogous of the orthogonal polynomials on the unit-circle. We introduce some basic results on the system and solutions of the system. Using nested-circle approach we introduce the possible number of square-integrable solutions of the system. At the end of the paper we share a limit-point criteria for the two-dimensional system of equations. (C) 2020 Elsevier Inc. All rights reserved.
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Fractional Differential Equation With a Complex Potential
    (Univ Nis, Fac Sci Math, 2020) Ugurlu, Ekin; Tas, Kenan; Baleanu, Dumitru
    In this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.
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    Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Singular Dissipative Third-Order Operator and Its Characteristic Function
    (Springer Basel Ag, 2020) Ugurlu, Ekin
    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 dissipative operator we introduce a completeness theorem.