Browsing by Department "Doğuş Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü"
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Derived length of a Frobeniuslike kernel
(Elsevier, 20140815)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F called kernel which has a nontrivial complement H such that FH/[F,F]FH/[F,F] is a Frobenius group with Frobenius kernel ... 
Eigenvalue problems for perturbed pLaplacians
(American Institute of Physics, 201011)This main subject of this paper is the problem of the existence of eigenvectors and a dispersion analysis of a class of multi parameter eiegenvalue problems for perturbed pLaplacians. This paper is particularly, devoted ... 
Erratum to action of a Frobeniuslike group with fixedpoint free kernel [J. Group Theory 17 (2014), 863–873]
(201403)After the article “Action of a Frobeniuslike group with fixedpoint free kernel” (http://dx.doi.org/10.1515/jgt20140016) went to online publication, the authors noticed that they had included the incorrect abstract. The ... 
Essential spectral singularities and the spectral expansion for the hill operator
(American Institute of Mathematical Sciences, 201711)In this paper we investigate the spectral expansion for the onedimensional Schrodinger operator with a periodic complexvalued potential. For this we consider in detail the spectral singularities and introduce new concepts ... 
Finite groups admitting a dihedral group of automorphisms
(Lugansk National Taras Shevchenko University, 2017)Let D = alpha, beta be a dihedral group generated by the involutions alpha and beta and let F = alpha beta). Suppose that D acts on a finite group G by automorphisms in such a way that CG(F)= 1. In the present paper we ... 
Finite groups whose character degree graphs coincide with their prime graphs
(Springer, 201809)In the literature, there are several graphs related to a finite group G. Two of them are the character degree graph, denoted by ΔG), and the prime graph ΓG), In this paper we classify all finite groups whose character ... 
Fixed point free action on groups of odd order
(Elsevier, 20080701)Let A be a finite abelian group that acts fixed point freely on a finite (solvable) group G . Assume that G is odd and A is of squarefree exponent coprime to 6. We show that the Fitting length of G is bounded by the ... 
Fixedpoint free action of an abelian group of odd nonsquarefree exponent
(Edinburgh Mathematical Society, 201102)Let A be a finite group acting fixedpoint freely on a finite (solvable) group G. A longstanding conjecture is that if (G, A) = 1, then the Fitting length of G is bounded by the length of the longest chain of subgroups ... 
Formula for the number of eigenvalues of a threeparticle Schrödinger operator on a lattice
(Springer, 201007)We consider a system of three arbitrary quantum particles on a threedimensional lattice that interact via shortrange attractive potentials. We obtain a formula for the number of eigenvalues in an arbitrary interval outside ... 
Frobeniuslike groups as groups of automorphisms
(TÜBİTAK, 20141121)A finite group F H is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that F H/[F, F] is a Frobenius group with Frobenius kernel F/[F, F]. Such subgroups and ... 
Generalized catalan numbers, sequences and polynomials
(TÜBİTAK, 2010)In this paper we present an algebraic interpretation for generalized Catalan numbers. We describe them as dimensions of certain subspaces of multilinear polynomials. This description is of utmost importance in the investigation ... 
A generalized fixed point free automorphism of prime power order
(World Scientific Publishing, 201206)Let G be a finite group and α be an automorphism of G of order pn for an odd prime p. Suppose that α acts fixed point freely on every αinvariant p′section of G, and acts trivially or exceptionally on every elementary ... 
A generalized fixedpointfree action
(World Scientific Publishing, 201305)In this paper we study the structure of a finite group G admitting a solvable group A of automorphisms of coprime order so that for any x ∈ CG(A) of prime order or of order 4, every conjugate of x in G is also contained ... 
Global attractors for the 3D viscous cahnhillard equations in an unbounded domain
(Taylor & Francis, 200908)In this note the 3D viscous CahnHillard equation is considered in an unbounded domain. It is shown that the semigroup generated by this equation has a global attractor. The asymptotic compactness of the solution operator ... 
Global existence and open loop exponential stabilization of weak solutions for nonlinear schrodinger equations with localized external neumann manipulation
(Elsevier, 201303)In this paper, we consider the nonlinear Schrodinger equations (NLS) with (focusing/defocusing) interior source and (possibly nonlinear) damping on a bounded regular domain in the Euclidean space. Moreover, it is assumed ... 
Groups of automorphisms with TNIcentralizers
(Elsevier, 201803)A subgroup H of a finite group G is called a TNIsubgroup if NG(H)∩Hg=1 for any g∈G\NG(H). Let A be a group acting on G by automorphisms where CG(A) is a TNIsubgroup of G. We prove that G is solvable if and only if CG(A) ... 
Infinite  dimensional symmetries of two  dimensional generalized Burgers equations
(American Institute of Physics, 201007)The conditions for a class of generalized Burgers equations which a priori involve nine arbitrary functions of one or two variables to allow an infinitedimensional symmetry algebra are determined. Although this algebra ... 
The influence of Hughes type action
(Taylor & Francis, 2015)We call the action of an automorphism of a finite group G a Hughes type action if it is described by conditions on the orders of elements of GG. In the present paper we study the structure of finite group G admitting an ... 
Isospectral mathieu  hill operators
(Springer Verlag, 201308)In this paper we prove that the spectra of the MathieuHill Operators with potentials ae(i2 pi x) +be (i2 pi x) and ce(i2 pi x) +de (i2 pi x) , where a, b, c and d are complex numbers, are the same if and only if ab = ... 
Mesude Aslan’ın anısına armağan
(Doğuş Üniversitesi, 20100715)Mesude Arslan 22 Kasım 1952’de Tokat’ın Turhal ilçesinde doğdu. İlk ve orta öğrenimini 19581966 yıllarında memleketi Tokat, Zile'de tamamladı. Lise eğitimine Bursa öğretmen okulunda başladı. Eğitimine matematik kabiliyeti ...