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

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Sustainable Development Goals

SDG data is not available

This researcher does not have a Scopus ID.

This researcher does not have a WoS ID.

Scholarly Output

42

Articles

33

Views / Downloads

236/317

Supervised MSc Theses

2

Supervised PhD Theses

0

WoS Citation Count

790

Scopus Citation Count

866

Patents

0

Projects

0

WoS Citations per Publication

18.81

Scopus Citations per Publication

20.62

Open Access Source

6

Supervised Theses

2

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

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Scholarly Output Search Results

Now showing 1 - 10 of 23

Citation - Scopus: 6
Mixed Boundary Value Problems for Higher-Order Complex Partial Differential Equations
(Univ Simon Bolivar, 2010) Aksoy,U.; Okay Ĉedil,; elebi,A.; Celebi, Ahmet Okay; Ĉedil, Okay
In this paper, we introduce the operators related to mixed boundary value problems for general linear elliptic partial complex differential equations in the unit disc of the complex plane. The solvability of the relevant boundary value problems will be studied by transforming them into singular integral equations. © 2010, by Oldenbourg Wissenschaftsverlag, München, Germany. All rights reserved.
Citation - WoS: 12
Citation - Scopus: 15
Schwarz Problem for Higher-Order Complex Partial Differential Equations in the Upper Half Plane
(Wiley-v C H verlag Gmbh, 2019) Aksoy, Umit; Begehr, Heinrich; Celebi, A. Okay
Linear and nonlinear elliptic complex partial differential equations of higher-order are considered under Schwarz conditions in the upper-half plane, Firstly, using the integral representations for the solutions of the inhomogeneous polyanalytic equation with Schvvarz conditions, a class of integral operators is introduced together with some of their properties. Then, these operators are used to transform the problem for linear equations into singular integral equations. In the case of nonlinear equations such a transformation yields a system of integro-differential equations. Existence of the solutions of the relevant boundary value problems for linear and nonlinear equations are discussed via Fredholm theory and fixed point theorems, respectively.
Citation - Scopus: 18
Dirichlet Problems for the Generalized N-Poisson Equation
(Springer International Publishing, 2010) Aksoy,Ü.; Çelebi,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. © 2009 Birkhäuser Verlag Basel/Switzerland.
Citation - Scopus: 76
Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems
(Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.
A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.
Polynomial Logistic Distribution Associated With a Cubic Polynomial
(Taylor & Francis inc, 2017) Aksoy, Umit; Ostrovska, Sofiya; Ozban, Ahmet Yasar
Let P(x) be a polynomial monotone increasing on ( - , +). The probability distribution possessing the distribution function is called the polynomial logistic distribution with associated polynomial P. This has recently been introduced by Koutras etal., who have also demonstrated its importance for modeling financial data. In this article, the properties of the polynomial logistic distribution with an associated polynomial of degree 3 have been investigated in detail. An example of polynomial logistic distribution describing daily exchange rate fluctuations for the US dollar versus the Turkish lira is provided.
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: 17
Citation - Scopus: 18
Weak Ψ-Contractions on Partially Ordered Metric Spaces and Applications To Boundary Value Problems
(Springeropen, 2014) Karapinar, Erdal; Erhan, Inci M.; Aksoy, Umit
A class of weak psi-contractions satisfying the C-condition is defined on metric spaces. The existence and uniqueness of fixed points of such maps are discussed both on metric spaces and on partially ordered metric spaces. The results are applied to a first order periodic boundary value problem.
Analysis of the Parameters That Effects the Operating Frequencies and Bandwidth of a Cpw-Fed Patch Antenna
(Ieee, 2013) Dagdeviren, Birkan; Kapusuz, K. Yavuz; Can, Sultan; Aydin, Elif
In this study, the analysis of the effect of antenna parameters to the operating frequency is performed in a coplanar waveguide fed patch antenna. The effect of the size and the substrate of the design dual frequency antenna to the operating frequency and bandwidth are also evaluated. Bandwidth of the upper and lower frequency is also investigated and results are demonstrated. The method to increase the bandwidth is also presented by using the chosen parameters.
Doğrusal Olmayan Black-scholes Denklemi için Üstel Sonlu Fark Yöntemi
(2017) Omar, Fathıa; Aksoy, Ümit; Aydın, Ayhan
Bu tezde, likit olmayan bir piyasada ortaya çıkan doğrusal olmayan Black-Scholes denklemi için üstel sonlu fark yöntemi çalışılmıştır. 1. Bölüm opsiyon fiyatlandırması problemi terminolojisi, temel tanımlar ve literatür taramasına ayrılmıştır. 2. Bölümde Black-Scholes modeli ve Black-Scholes denklemi için sonlu fark yöntemleri gözden geçirilmiştir. 3. Bölümde doğrusal olmayan Black-Scholes denklemi için açık sonlu fark yöntemi, monotonluk, kararlılık ve tutarlılık sonuçları ile birlikte çalışılmıştır. 4. Bölümde doğrusal ve doğrusal olmayan Black-Scholes denklemleri için üstel sonlu fark yöntemi uygulanmıştır. Ayrıca, yöntemin tutarlılığı ve yakınsaklığı araştırılmıştır. Teorik sonuçları doğrulamak için sayısal örnekler verilmiştir. Sayısal sonuçlar, üstel sonlu fark yönteminin açık sonlu fark yönteminden daha iyi performans sergilediğini göstermiştir. 5. Bölüm sonuç kısmına ayrılmıştır.
A Survey on Boundary Value Problems for Complex Partial Differential Equations
(Advances in Dynamical Systems and Applications, 2010) Aksoy, Ümit; Çelebi, A. Okay
In this article, the recent results on basic boundary value problems of complex analysis are surveyed for complex model equations and linear elliptic complex par tial differential equations of arbitrary order on simply connected bounded domains, particularly in the unit disc, on unbounded domains such as upper half plane and upper right quarter plane and on multiply connected domains containing circular rings.