Ufuktepe, Ünal

Profile URL
https://hdl.handle.net/11147/16087
Name Variants
Ufuktepe, Unal
Ufuktepe, Un̈al
Ufuktepe, U
Ufuktepe, U.
Ufuktepe, Ü
Ufuktepe, Ü.
Ufuktepe, Uenal
Job Title
Email Address
Main Affiliation
04.02. Department of Mathematics
Status
Former Staff
Website
ORCID ID
0000-0002-7903-6385
Scopus Author ID
55961498200
Turkish CoHE Profile ID
Google Scholar ID
YMKjHlsAAAAJ
WoS Researcher ID

Sustainable Development Goals

NO POVERTY1
NO POVERTY
0
Research Products
ZERO HUNGER2
ZERO HUNGER
0
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GOOD HEALTH AND WELL-BEING3
GOOD HEALTH AND WELL-BEING
0
Research Products
QUALITY EDUCATION4
QUALITY EDUCATION
2
Research Products
GENDER EQUALITY5
GENDER EQUALITY
0
Research Products
CLEAN WATER AND SANITATION6
CLEAN WATER AND SANITATION
0
Research Products
AFFORDABLE AND CLEAN ENERGY7
AFFORDABLE AND CLEAN ENERGY
0
Research Products
DECENT WORK AND ECONOMIC GROWTH8
DECENT WORK AND ECONOMIC GROWTH
0
Research Products
INDUSTRY, INNOVATION AND INFRASTRUCTURE9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
1
Research Products
REDUCED INEQUALITIES10
REDUCED INEQUALITIES
0
Research Products
SUSTAINABLE CITIES AND COMMUNITIES11
SUSTAINABLE CITIES AND COMMUNITIES
0
Research Products
RESPONSIBLE CONSUMPTION AND PRODUCTION12
RESPONSIBLE CONSUMPTION AND PRODUCTION
0
Research Products
CLIMATE ACTION13
CLIMATE ACTION
0
Research Products
LIFE BELOW WATER14
LIFE BELOW WATER
0
Research Products
LIFE ON LAND15
LIFE ON LAND
0
Research Products
PEACE, JUSTICE AND STRONG INSTITUTIONS16
PEACE, JUSTICE AND STRONG INSTITUTIONS
0
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PARTNERSHIPS FOR THE GOALS17
PARTNERSHIPS FOR THE GOALS
0
Research Products
Documents

28

Citations

137

h-index

6

Go to Scopus profile
This researcher does not have a WoS ID.
Scholarly Output

21

Articles

7

Views / Downloads

41527/9448

Supervised MSc Theses

8

Supervised PhD Theses

0

WoS Citation Count

26

Scopus Citation Count

30

Patents

0

Projects

0

WoS Citations per Publication

1.24

Scopus Citations per Publication

1.43

Open Access Source

19

Supervised Theses

8

JournalCount
Lecture Notes in Computer Science6
Turkish Journal of Mathematics2
High Energy Physics1
Challenging The Boundaries of Symbolic Computation1
Journal of Interdisciplinary Mathematics1
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Filters

2001 - 200921

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Scholarly Output Search Results

Now showing 1 - 10 of 21
  • Article
    Citation - Scopus: 1
    Inequalities for Buckling of a Clamped Plate
    (Taylor and Francis Ltd., 2002) Ufuktepe, Ünal; Mchale, K. P.
    We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in bounding ratios of eigenvalues of the membrance problem, bounds for ratios of eigenvalues are found for the buckling of a clamped piate
  • Master Thesis
    Applications of Petri Nets
    (Izmir Institute of Technology, 2008) Yılmaz, Buket; Ufuktepe, Ünal
    Petri nets are powerful formalism for modeling a wide range of dynamic systems and system behaviors. This thesis surveys the basic concept and application of Petri nets. The structure of Petri nets, their marking and execution and several examples of Petri net modeling. In this thesis we research into the analysis of Petri nets. Also we give the structure of Reachability graphs of Petri nets and their advantages for analyzing the Petri nets. The reachability problem for Petri nets is the problem of finding if Mn 2 R(M0) for a given marking Mn in a net (N,M0).We present several different kinds of Petri nets, together with computer tools based on Mathematica. We give the Mathematica commands for Reachability problem and also we created Mathematica commands for Incidence matrix of Petri nets. We study the concept of Petri nets and applications of Petri nets.We especially focus on Biological applications on Petri nets and we work on modeling of Hashimoto.s Thyroiditis in Petri Nets.
  • Master Thesis
    Oscillation Theory for Second Order Differential Equations and Dynamic Equations on Time Scales
    (Izmir Institute of Technology, 2004) Yantır, Ahmet; Ufuktepe, Ünal; Ufuktepe, Ünal
    This thesis provides the oscillation criteria for second order linear differential equations and dynamic equations on time scales. We establish the comparison theorems and oscillation criteria for selfadjoint and non-self adjoint equations and systems of first order ordinary differential equations. Then we prove the fundamental results concerning the dynamic equations: existence and uniqueness theorem and disconjugacy criteria.
  • Article
    Citation - WoS: 1
    Graph Coloring With Webmathematica
    (Springer Verlag, 2004) Ufuktepe, Ünal; Bacak, Gökşen; Beşeri Sevim, Tina
    Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring graphs by using webMathematica which is the new web-based technology. In this paper, we describe some web-based interactive examples on graph coloring with webMathematica.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 1
    Basic Calculus on Time Scale With Mathematica
    (Springer Verlag, 2003) Yantır, Ahmet; Ufuktepe, Ünal
    Mathematical modeling of time dependent systems are always interesting for applied mathematicians. First continuous and then discrete mathematical modeling are built during the mathematical development from ancient to the modern times. By the discovery of the time scales, the problem of irregular controlling of time dependent systems is solved in 1990's. In this paper, we explain the derivative of functions on time scales and the solutions of some basic calculus problems by using Mathematica. © Springer-Verlag Berlin Heidelberg 2003.
  • Master Thesis
    Measure Theory on Times Scales
    (Izmir Institute of Technology, 2007) Deniz, Aslı; Ufuktepe, Ünal
    In this thesis, we have studied measure theory adapted to time scales. delta and nabla-measures were first defined by Guseinov in 2003, then in a further study, the relationship between Lebesgue delta-integral and Riemann delta-integral were introduced in detail by Guseinov and Bohner. In 2004, Cabada established the relationship between delta-measure and the classical Lebesgue measure, moreover, Lebesgue delta-integral and the classical Lebegue integral. Finally, deltameasurability of sets was studied by Rzezuchovsky in 2005. In this study, we have adapted basic concepts of the measure theory to time Scales, by using definitions and properties given in these papers. With the help of related papers, Lebesgue-Stieltjes measure has been constructed on time scales and the link between Lebesgue-Stieltjes measure and Lebesgue-Stieltjes delta-measure and also link between Lebesgue-Stieltjes delta-integral and Lebesgue-Stieltjes integral have taken place.
  • Conference Object
    Citation - WoS: 3
    Citation - Scopus: 3
    Mathematica Applications on Time Scales
    (Springer Verlag, 2005) Yantır, Ahmet; Ufuktepe, Ünal
    Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and continuous processes, besides many others. In this paper we give many examples on derivative and integration on time scales calculus with Mathematica. We conclude with solving the first order linear dynamic equation N Δ(t) = N(t), and show that the solution is a generalized exponential function with Mathematica.
  • Conference Object
    Citation - WoS: 1
    Citation - Scopus: 2
    Applications of Graph Coloring
    (Springer Verlag, 2005) Ufuktepe, Ünal; Bacak, Gökşen
    A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such a way that adjacent vertices / edges are colored differently. This paper discusses coloring and operations on graphs with Mathematica and webMathematica. We consider many classes of graphs to color with applications. We draw any graph and also try to show whether it has an Eulerian and Hamiltonian cycles by using our package ColorG
  • Article
    Citation - Scopus: 2
    Inequalities for the Vibrating Clamped Plate Problem
    (TUBITAK, 2001) Mchale, K. P.; Ufuktepe, Ünal
    We study the eigenvalues of the vibrating clamped plate problem. We have made improvements on the bounds of the ratios of the eigenvalues of the biharmonic operator (clamped plate) using the methods of Payne, Polya, and Weinberger. The difference in our proof lies mainly with the trial functions and the orthogonality arguments. While Payne, Polya, and Weinberger and Hile and Yeh project away components along u1, u2,...,uk to meet the orthogonality conditions, we use a translation/rotation argument to meet these conditions.
  • Master Thesis
    Edge Coloring of a Graph
    (Izmir Institute of Technology, 2004) Beşeri, Tina; Ufuktepe, Ünal
    The edge coloring problem is one of the fundamental problem on graphs which often appears in various scheduling problems like the le transfer problem on computer networks. In this thesis, we survey old and new results on the classical edge coloring as well as the generalized edge coloring problems. In addition, we developed some algorithms and modules by using Combinatorica package to color the edges of graphs with webMathematica which is the new web-based technology.