Ümit Aksoy

Aksoy, Ümit

Profile URL

https://hdl.handle.net/20.500.14411/6803

Name Variants

U., Aksoy
A., Umit
Ü., Aksoy
Aksoy,U.
Aksoy,Umit
Aksoy, Umit
Umit, Aksoy
U.,Aksoy
Ü.,Aksoy
Ümit Aksoy
A.,Umit
Aksoy U.
Aksoy, Ümit
Aksoy,Ü.
Ümit, Aksoy
A., Ümit
A.,Ümit
Aksoy, U.
Aksoy, Ue.
Aksoy, Ue

Job Title

Profesör Doktor

Email Address

umit.aksoy@atilim.edu.tr

Main Affiliation

Mathematics

Scopus Author ID

24402879000

Full item page

Sustainable Development Goals

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Scholarly Output

43

Articles

34

Views / Downloads

74/59

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

732

Scopus Citation Count

716

Patents

0

Projects

0

WoS Citations per Publication

17.02

Scopus Citations per Publication

16.65

Open Access Source

6

Supervised Theses

2

Journal	Count
Complex Variables and Elliptic Equations	6
Filomat	3
Applied and Computational Mathematics	2
Integral Transforms and Special Functions	2
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas	2

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Scopus Quartile Distribution

Competency Cloud

Scholarly Output Search Results

Now showing 1 - 6 of 6

Citation - WoS: 2
Citation - Scopus: 5
Schwarz problem for higher order linear equations in a polydisc
(Taylor & Francis Ltd, 2017) Aksoy, U.; Celebi, A. O.
In this paper, we discuss the Schwarz boundary value problem for higher order linear complex differential equations in the unit polydisc of C-2. After the relevant preparations, we give the solution for a model equation with homogeneous boundary conditions. Then we obtain the solutions of a linear equation involving Schwarz boundary conditions on the unit polydisc.
Citation - WoS: 8
Citation - Scopus: 10
A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
(Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.; Sevinik Adıgüzel, Rezan
The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.
Citation - WoS: 3
Citation - Scopus: 5
Polyharmonic Robin Problem for Complex Linear Partial Differential Equations
(Taylor & Francis Ltd, 2014) Aksoy, U.; Celebi, A. O.
In this article, generalized polyharmonic Robin functions are introduced together with some of their properties. A hierarchy of integral operators with relevant kernel functions are investigated. These operators are used to transform the Robin problem for a 2nth order linear partial complex differential equation with polyharmonic leading term (generalized n-Poisson equation) into a singular integral equation having Fredholm property.
Citation - WoS: 13
Dirichlet Problems for the Generalized n-poisson Equation
(Birkhauser verlag Ag, 2010) Aksoy, U.; Celebi, A. O.
Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator.
Citation - WoS: 6
Citation - Scopus: 9
Dirichlet Problem for a Generalized Inhomogeneous Polyharmonic Equation in an Annular Domain
(Taylor & Francis Ltd, 2012) Aksoy, U.; Celebi, A. O.
In this article, we investigate the solvability of the Dirichlet problems in ring domains for elliptic linear complex partial differential equations having polyharmonic operators as main parts. First, we give higher order Green functions as fundamental solutions of the homogeneous problems using the iteration of harmonic Green functions for ring domains. Second, we introduce some classes of operators related to Dirichlet problems together with their basic properties. Next, we transform the original problems into equivalent singular integral equations. Finally, solvability of the problems is discussed by defining the adjoint problems and using Fredholm alternative.
Citation - WoS: 15
Citation - Scopus: 18
Schwarz problem for higher-order complex elliptic partial differential equations
(Taylor & Francis Ltd, 2008) Aksoy, U.; Celebi, A. O.
In this paper, we investigate the solvability of a higher order elliptic differential equation with the Schwarz conditions on the unit disc of the complex plane.