Department of Mathematics

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Akhmet, Marat (193)
Özbudak, Ferruh (169)
Tezer, Münevver (117)
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Recent Submissions

Linearly implicit methods for the nonlinear Klein–Gordon equation Uzunca, Murat; Karasözen, Bülent (2025-05-01) We present energy-preserving linearly implicit integrators for the nonlinear Klein–Gordon equation, based on the polarization of the polynomial functions. They are symmetric, second-order accurate in time and space, and un...
Limit groups and automorphisms of κ-existentially closed groups Kaya, Burak; Kuzucuoğlu, Mahmut; Longobardi, Patrizia; Maj, Mercede (2025-03-15) The structure of automorphism groups of κ-existentially closed groups has been studied by Kaya-Kuzucuoğlu in 2022. It was proved that Aut(G) is the union of subgroups of level preserving automorphisms and |Aut(G)|=2κ whene...
Representing matrices of almost completely decomposable groups Solak, Ebru (2024-12-14)
New q-ary quantum MDS codes of length strictly larger than q+1 Kırcalı, Mustafa; Özbudak, Ferruh (2024-12-01) Quantum information and quantum computation have become a hot topic in recent decades. Quantum error-correcting codes are useful and have many applications in quantum computations and quantum communications. We construct a...
Some special coprime actions and their consequences Ercan, Gülin; Güloğlu, İsmaı̇l Ş.; Kizmaz, M. Yası̇r; Revin, Danila O. (2024-12-01) Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the grou...
Species on the move: Impacts of climate change on the spatial range of endemic fishes of the eco-sensitive semi-arid area of the Arabian Peninsula Masoumi, Amir Hassan; Esmaeili, Hamid Reza; Khosravi, Rasoul; Gholamhosseini, Ali; Korkmaz, Mustafa; Jeppesen, Erik (2024-10-15) Climate change is one of the most significant challenges worldwide in the Anthropocene, and it is predicted to importantly affect biological diversity, especially in freshwaters. Freshwater fishes are facing considerable g...
GEOGRAPHY OF SYMPLECTIC LEFSCHETZ FIBRATIONS AND RATIONAL BLOWDOWNS Baykur, R. Inanç; Korkmaz, Mustafa; Simone, Jonathan (2024-10-01) We produce simply-connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a symplectic extension of the classical works p...
Hafif Has Multinetlerdeki Kısıtlamalar Suluyer, Hasan (2024-08-27) Hafif (light) bir $(k,d)$-multinet, $\mathbb{CP}^2$ içindeki katlılıklara sahip doğruların ve noktaların özel bir konfigürasyonudur. Multinetler, karmaşık bir doğru ayarlamasının tümleyeninin rezonans çokluklarını anlamak ...
Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model Akhmet, Marat; Başkan, Kağan; Yeşil, Cihan (2024-08-01) The paper explores noise-induced synchronization in uncoupled Hindmarsh–Rose neurons, introducing two distinctive elements: the application of Markovian noise and an analysis of synchronization via unpredictability. The no...
Enveloping norms of regularly P-operators in Banach lattices Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2024-07-01) The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the operator norm. We investigate the enveloping norm ‖S‖r-P=inf{‖T‖:±S≤T∈P} o...
ASYMPTOTIC EXPANSION OF THE SOLUTION FOR SINGULAR PERTURBED LINEAR IMPULSIVE SYSTEMS Dauylbayev, M.K.; Akhmet, Marat; Aviltay, N. (2024-06-30) In this study, a singularly perturbed linear impulsive system with singularly perturbed impulses is considered. Many books discuss different types of singular perturbation problems. In the present work, an impulse system i...
Natural Convection in a Nanofluid Filled Inclined Cavity Beneath the Influence of a Partial Magnetic Field Oğlakkaya, Fatma Sidre; Bozkaya, Canan (2024-06-28)
On the BEM solution of convection-diffusion type equations involving variable convective coefficients Fendoğlu, Hande; Bozkaya, Canan; Tezer, Münevver (2024-06-01) In this study, numerical solutions of the unsteady convection-diffusion type equations of variable convective coefficients are investigated by two effective techniques alternative to direct boundary element method (BEM). T...
Dynamics of Symmetrical Discontinuous Hopfield Neural Networks with Poisson Stable Rates, Synaptic Connections and Unpredictable Inputs Akhmet, Marat; Nugayeva, Zakhira; Seilova, Roza (2024-06-01) The purpose of this paper is to study the dynamics of Hopfield neural networks with impulsive effects, focusing on Poisson stable rates, synaptic connections, and unpredictable external inputs. Through the symmetry of impu...
Torsiyonsuz Değişmeli Grupların Bir Alt Sınıfının Ayrışma Problemi Solak, Ebru (2024-05-23)
Boundary Element Method for Magnetohydrodynamic Flow Tezer, Münevver; Bozkaya, Canan (Springer Nature Switzerland Ag, 2024-05-01)
Generating the level 2 subgroup by involutions Altunöz, Tülin; Monden, Naoyuki; Pamuk, Mehmetcik; Yıldız, Oğuz (2024-04-15) We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
Noncoprime action of a cyclic group Ercan, Gülin; Güloğlu, İsmail Ş. (2024-04-01) Let A be a finite nilpotent group acting fixed point freely on the finite (solvable) group G by automorphisms. It is conjectured that the nilpotent length of G is bounded above by ℓ(A), the number of primes dividing the or...
Application of Genetic Algorithms for Periodicity Recognition and Finite Sequences Sorting Zhassuzak, Mukhtar; Akhmet, Marat; Amirgaliyev, Yedilkhan; Buribayev, Zholdas (2024-03-01) Unpredictable strings are sequences of data with complex and erratic behavior, which makes them an object of interest in various scientific fields. Unpredictable strings related to chaos theory was investigated using a gen...
Nilpotent residual of a finite group Rodrigues, Eliana; de Melo, Emerson; Ercan, Gülin (2024-03-01) Let F be a nilpotent group acted on by a group H via automorphisms and let the group G admit the semidirect product FH as a group of automorphisms so that CG(F)=1. We prove that the order of γ∞(G), the rank of γ∞(G) are bo...

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