Department of Mathematics

Search within this community and its collections:
Collections in this community


Entity Type
Publication (1186)
Thesis (436)
Project (65)
Open Course (13)

Has File(s)
No (1110)
Yes (590)

Özbudak, Ferruh (153)
Akhmet, Marat (113)
Tezer, Münevver (104)
Zafer, Ağacık (71)
Bozkaya, Canan (54)

Applied Mathematics (201)
General Mathematics (129)
Analysis (83)
Algebra and Number Theory (75)
Computational Mathematics (50)

Date Issued
1964 - 1979 (57)
1980 - 1999 (321)
2000 - 2019 (1198)
2020 - 2022 (124)

Item Type
Journal Article (791)
Master Thesis (277)
Ph.D. Thesis (159)
Conference Paper (135)
Project (56)

Recent Submissions

o tau-Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces
Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2022-06-01)
We investigate o tau-continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the Kantorovich-Banach operators between locally solid lattices and topological vector spaces; and t...
Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation
Yıldız, Süleyman; Karasözen, Bülent; Uzunca, Murat (2022-05-15)
In this paper, we investigate projection-based intrusive and data-driven model order reduction in numerical simulation of rotating thermal shallow water equation (RTSWE) in parametric and non-parametric form. Discretizatio...
Two or Three Weight Linear Codes from Non-Weakly Regular Bent Functions
Özbudak, Ferruh; Pelen, Rumi Melih (2022-05-01)
© 1963-2012 IEEE.Linear codes with few weights have applications in consumer electronics, communications, data storage systems, secret sharing, authentication codes, and association schemes. As a special class of linear co...
Complete b-symbol weight distribution of some irreducible cyclic codes
Zhu, Hongwei; Shi, Minjia; Özbudak, Ferruh (2022-05-01)
Recently, b-symbol codes are proposed to protect against b-symbol errors in b-symbol read channels. It is an interesting subject of study to consider the complete b-symbol weight distribution of cyclic codes since b-symbol...
Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions
Özbudak, Ferruh; Pelen, Rumi Melih (2022-04-01)
Let F be a ternary non-weakly regular bent function in GMMF class whose dual F* is bent. We prove that if F satisfies certain conditions, then collecting the pre-image sets of the dual function F* with respect to the subse...
Good action of a nilpotent group with regular orbits
Ercan, Gülin; GÜLOĞLU, İSMAİL ŞUAYİP (2022-04-01)
Suppose that A is a finite nilpotent group of odd order having a good action, in the sense of [1], on the group G of odd order. Under some additional assumptions we prove that the Fitting height of G is bounded above by th...
Upper level sets of Lelong numbers on ℙ2 and cubic curves
Yazici, Özcan; Kişisel, Ali Ulaş Özgür (2022-03-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P2 and Vα(T) be the upper level sets of Lelong numbers ν(T,x) of T. For any α≥13, we show that |Vα(T)∖C|≤2 for some cubic curve C.
Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes
Koese, Seyda; Özbudak, Ferruh (2022-03-01)
We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Sole in [13]. We also give some appl...
Local Boundedness of Catlin q-Type
Yazıcı, Özcan (2022-02-01)
In D'Angelo (Ann Math 115:615-637, 1982) introduced the notion of finite type for points p of a real hypersurface M of C-n by defining the order of contact Delta(q)(M, p) of complex-analytic q-dimensional varieties with M ...
Unpredictability in Markov chains
Akhmet, Marat (2022-01-01)
We have formalized realizations of Markov chains as conveniently constructed sequences, and explained, why the random dynamics admits the unpredictability, the concept introduced in our papers previously. The method of the...
Chebyshev spectral collocation method for MHD duct flow under slip condition
Bozkaya, Canan; Türk, Önder (2022-01-01)
The magnetohydrodynamic problem of a fully developed flow of an incompressible and electrically conducting fluid is solved numerically by a Chebyshev spectral collocation method in a square duct with walls of variable elec...
A Rayleigh–Ritz Method for Numerical Solutions of Linear Fredholm Integral Equations of the Second Kind
Kaya, Ruşen; Taşeli, Hasan (2022-01-01)
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.A Rayleigh–Ritz Method is suggested for solving linear Fredholm integral equations of the second kind numerically in a desired accuracy. To t...
On a class of non-simply connected Calabi-Yau 3-folds with positive Euler characteristic
Karayayla, Tolga (2022-01-01)
In this work we obtain a class of non-simply connected Calabi-Yau 3-folds with positive Euler characteristic as the quotient of projective small resolutions of singular Schoen 3-folds under the free action of finite groups...
Existentially closed groups
Gürel, Yağmur; Kuzucuoğlu, Mahmut; Koçak Benli, Dilber; Department of Mathematics (2021-12-10)
A group G is called an Existentially Closed Group (Algebraically Closed Group) if for every finite system of equations and inequations with coefficients from G which has a solution in an over group H ≥ G, has a solution in...
On m-th roots of nilpotent matrices
Öztürk, Semra (2021-11-01)
A new necessary and sufficient condition for the existence of an m-th root of a nilpotent matrix in terms of the multiplicities of Jordan blocks is obtained and expressed as a system of linear equations with nonnegative in...
Upper level sets of Lelong numbers on P-2 and cubic curves
Kişisel, Ali Ulaş Özgür; Yazıcı, Özcan (2021-11-01)
Let T be a positive closed current of bidimension (1, 1) with unit mass on P-2 and V-alpha(T) be the upper level sets of Lelong numbers nu(T, x) of T. For any alpha >= 1/3, we show that vertical bar V-alpha(T)\C vertical b...
An Introduction to Sobolev Spaces
Pişkin, Erhan; Okutmuştur, Baver (Bentham Science Publishers, 2021-11-01)
Sobolev spaces were firstly defined by the Russian mathematician, Sergei L. Sobolev (1908-1989) in the 1930s. Several properties of these spaces have been studied by mathematicians until today. Functions that account ...
Modulo Periodic Poisson Stable Solutions of Quasilinear Differential Equations
Akhmet, Marat; Zhamanshin, Akylbek (2021-11-01)
In this paper, modulo periodic Poisson stable functions have been newly introduced. Quasilinear differential equations with modulo periodic Poisson stable coefficients are under investigation. The existence and uniqueness ...
On the closed Ramsey numbers R-cl(omega plus n, 3)
Kaya, Burak (2021-11-01)
In this paper, we contribute to the study of topological partition relations for pairs of countable ordinals and prove that, for all integers n ≥ 3, Rcl(ω + n, 3) ≥ ω2 · n + ω · (R(n, 3) − n) + n, Rcl(ω + n, 3) ≤ ω2 · n +...
Two kinds of real lines on real del Pezzo surfaces of degree 1
Finashin, Sergey (2021-11-01)
We show how the real lines on a real del Pezzo surface of degree 1 can be split into two species, elliptic and hyperbolic, via a certain distinguished, intrinsically defined, Pin(-)-structure on the real locus of the surfa...
Citation Formats