FEF, Matematik Bölümü, Makale Koleksiyonu
Güncel Gönderiler

On sharp asymptotic formulas for the SturmLiouville operator with a matrix potential
(Springer, 201607)In this article we obtain the sharp asymptotic formulas for the eigenvalues and eigenfunctions of the nonselfadjoint operators generated by a system of the SturmLiouville equations with Dirichlet and Neumann boundary ... 
Action of a frobeniuslike group with kernel having central derived subgroup
(World Scientific Publishing, 201609)A finite group FH is said to be Frobeniuslike if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite ... 
α metrically chebyshev conformal motions in Riemannian spaces
(Academic Publications, 200802)In this paper we introduced αmetrically Chebyshev nets in a Riemannian manifold with semisymmetric metric connection. We also studied conformal motions with trajectories defined by the components of these nets in Riemannian ... 
Darboux function in a hypersurface of a Riemannian manifold with semisymmetric metric connection
(Hikari, 200810)In 1970, Yano, [1], studied Riemannian manifolds which admit semisymmetric metric connections whose curvature tensors vanish (see also [2]). The properties of a Riemannian manifold admitting a semisymmetric metric connection ... 
Nonselfadjoint sturm–liouville operators with matrix potentials
(Pleiades Publishing, 2007)We obtain asymptotic formulas for nonselfadjoint operators generated by the Sturm–Liouville system and quasiperiodic boundary conditions. Using these asymptotic formulas, we obtain conditions on the potential for which ... 
On quasirecurrent spaces with Ricci quartersymmetric metric connection
(Hikari, 200601)In [3], Mishra and Pandey defined Ricci quartersymmetric metric connection in Riemanian manifold. In [5],Uysal and Doğan defined Drecurrent spaces with semisymmetric metric connection and constructed an example of these ... 
Perturbation theory for the periodic multidimensional Schrödinger Operator and the BetheSommerfeld Conjecture
(Hikari, 2007)In this paper we obtain asymptotic formulas of arbitrary order for the Bloch eigenvalue and the Bloch function of the periodic Schr¨odinger operatör −Δ + q(x), of arbitrary dimension, when corresponding quasimomentum lies ... 
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 ... 
On the basis property of the root functions of Sturm–Liouville operators with general regular boundary conditions
(Independent University of Moscow, 201507)We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm–Liouville operators with general regular boundary conditions. Using these formulas, we find sufficient condi tions on the potential q ... 
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 ... 
On the constructive determination of the periodic potentials from the bloch eigenvalues
(IOP Science, 20090825)In this paper, we consider the threedimensional Schrödinger operator with a periodic, relative to a lattice Ω of , potential q. We construct a set D of trigonometric polynomials such that D is dense in , where s > 3, in ... 
A combinatorial discussion on ﬁnite edimensional Leavitt path algebras
(Hacettepe University, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
A variable coefficient nonlinear Schrödinger equation with a fourdimensional symmetry group and blowup
(Taylor & Francis, 201306)A canonical variable coefficient nonlinear Schrödinger equation with a fourdimensional symmetry group containing SL(2, ℝ) group as a subgroup is considered. This typical invariance is then used to transform by a symmetry ... 
Annihilators of principal ideals in the exterior algebra
(Mathematical Society of the Republic of China, 2007)In this paper we describe annihilators of principal ideals of exterior algebras. For odd elements we establish formulae for dimensions of their principal ideals and their annihilators. For even elements we exhibit ... 
On the prime radical of a module over a noncommutative ring
(The Mathematical Society of the Republic of China, 200406)Let R be a ring and M a left R  module. The radical of M is the intersection of all prime submodules of M. It is proved that if R is a hereditary, noetherian, prime and non right artinian and M a finitely generated Rmodule ... 
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 ... 
On the simplicity of the eigenvalues of nonselfadjoint mathieuhill operators
(Azerbaijan National Academy of Sciences, 2014)Firstly, we analyze some spectral properties of the nonselfadjoint Hill operator with piecewise continuous even potential. Then using this we find conditions on the potential of the nonselfadjoint Mathieu operator, ... 
On nonselfadjoint sturmliouville operators in the space of vector functions
(MAIK Nauka/Interperiodica, 2014)In this article we obtain asymptotic formulas for the eigenvalues and eigenfunctions of the nonselfadjoint operator generated in L2(m) [0, 1] by the SturmLiouville equation with m x m matrix potential and the boundary ... 
A combinatorial discussion on finite dimensional leavitt path algebras
(Hacettepe Üniversitesi, 2014)Any finite dimensional semisimple algebra A over a field K is isomorphic to a direct sum of finite dimensional full matrix rings over suitable division rings. We shall consider the direct sum of finite dimensional full ... 
On the basis property of the root functions of some class of nonselfadjoint sturmliouville operators
(Springer, 20140315)We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the SturmLiouville operators with some regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such ...