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Department of Mathematics, Article
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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...
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...
Unpredictable solutions of compartmental quasilinear differential equations
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type o...
Cohen-Grossberg neural networks with unpredictable and Poisson stable dynamics
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In this paper, we provide theoretical as well as numerical results concerning recurrent oscillations in Cohen-Grossberg neural networks with variable inputs and strengths of connectivity for cells, which are unpredictable ...
Graphs of schemes associated to group actions
Kişisel, Ali Ulaş Özgür; Özkan, Engin (2023-12-01)
Let X be a proper algebraic scheme over an algebraically closed field. We assume that atorus T acts on X such that the action has isolated fixed points. The T-graph of X canbe defined using the fixed points and the one-dim...
Contact Symplectic Fibrations and Bundle Contact Structures
Arıkan, Mehmet Fırat (2023-12-01)
We consider a certain type of fiber bundles with odd dimensional connected contact base, exact symplectic fibers, and the structure group contained in the group of exact symplectomorphisms of the fiber. We call such fibrat...
Impacts of Human Activities and Climate Change on Freshwater Fish—Volume II
De Santis, Vanessa; Jeppesen, Erik; Volta, Pietro; Korkmaz, Mustafa (2023-12-01)
Deferred correction method for the continuous data assimilation model
AĞGÜL, MUSTAFA; Çıbık, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (2023-10-01)
This paper presents a numerical assessment of a continuous data assimilation (CDA) model for incompressible Navier–Stokes equations. The proposed model employs the deferred correction method, which is an approach to increa...
DRBEM solution of singularly perturbed coupled MHD flow equations
Arslan, Sinem; Tezer, Münevver (2023-10-01)
In this study, the numerical solution of singularly perturbed magnetohydrodynamic (MHD) flow in a square duct with no-slip, and insulated or perfectly conducting walls is investigated by using the Dual Reciprocity Boundary...
Symmetrical Impulsive Inertial Neural Networks with Unpredictable and Poisson-Stable Oscillations
Akhmet, Marat; Tleubergenova, Madina; Seilova, Roza; Nugayeva, Zakhira (2023-10-01)
This paper explores the novel concept of discontinuous unpredictable and Poisson-stable motions within impulsive inertial neural networks. The primary focus is on a specific neural network architecture where impulses mimic...
Core sets in Kähler manifolds
Göğüş, Nihat Gökhan; Günyüz, Ozan; Yazıcı, Özcan (2023-09-15)
The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kähler manifolds. Core sets are investigated in different aspects by considering various cla...
Expected Multivolumes of Random Amoebas
Bayraktar, Turgay; Kişisel, Ali Ulaş Özgür (2023-09-01)
We compute the expected multivolume of the amoeba of a random half dimensional complete intersection in CP2n . We also give a relative generalization of our result to the toric case.
Land-use and Fish Condition Changes for Over a Decade on Konya Closed Basin, are External Anomalies Affecting the Fish Condition?
Korkmaz, Mustafa; Mangit, Fatih; Yerli, Sedat (2023-09-01)
Anthropogenic pressures on freshwater ecosystems are growing and pose serious threats to endemic fish species. This study aimed to identify the effects of anthropogenic pressures on an endangered species, Pseudophoxinus cr...
Linearly implicit methods for Allen-Cahn equation
Uzunca, Murat; Karasözen, Bülent (2023-08-01)
It is well known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy functional decreases in time. Linearly implicit integrators have been developed for energy-preserving methods fo...
On an optimal control problem of the Leray-alpha model
Hacat, Gülnur; Çıbık, Aytekin Bayram; Yılmaz, Fikriye Nuray; Kaya Merdan, Songül (2023-07-01)
This study considers semi-discrete optimal control problem of Navier–Stokes equations which are regularized by the Leray- model. After deriving optimality conditions, a priori error estimates of all fluid variables are inv...
A weakly Lindelöf space which does not have the property Ufin⁎(O,O)
Soyarslan, Servet; Önal, Süleyman (2023-06-01)
We show that there exists a Tychonoff weakly Lindelöf space which does not have the property Ufin⁎(O,O). This result answers the following open questions. [2] Does a weakly Lindelöf space have the property U1⁎(O,O)? [3] Is...
Graph Theoretic Approach to Randomness Test Based on the Overlapping Blocks
Uğuz, Muhiddin (2023-06-01)
Cryptographic parameters such as secret keys, should be chosen randomly and at the same time it should not be so difficult to reproduce them when necessary. Because of this, pseudorandom bit (or number) generators take the...
An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations
Takhirov, Aziz; Çıbık, Aytekin Bayram; Eroğlu, Fatma Güler; Kaya Merdan, Songül (2023-06-01)
This paper presents a novel Arrow–Hurwicz type method for approximating the steady-state Navier Stokes equations using the finite element method. The novel method is inspired from artificial compressibility regularization ...
Stabilized FEM solution of MHD duct flow with conducting cracks in the insulation
Tezer, Münevver; AYDIN, SALİM TUTGUN (2023-05-15)
In this paper, the numerical solution of the fully developed liquid–metal magnetohydrodynamic (MHD) flow is given in a rectangular duct under an external oblique magnetic field with no-slip and insulated walls containing c...
Unpredictable and Poisson Stable Oscillations of Inertial Neural Networks with Generalized Piecewise Constant Argument
Akhmet, Marat; Tleubergenova, Madina; Nugayeva, Zakhira (2023-04-01)
A new model of inertial neural networks with a generalized piecewise constant argument as well as unpredictable inputs is proposed. The model is inspired by unpredictable perturbations, which allow to study the distributio...
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