Browsing FEF, Matematik Bölümü, Makale Koleksiyonu by Issue Date
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Some paradoxes in mathematics
(Doğuş Üniversitesi, 20000115)We have explained some paradoxes in the set theory of mathematics. 
Professor Masatoshi Gündüz Ikeda: a life devoted to mathematics
(TÜBİTAK, 2003)In the summer of 1963 as a new graduate I paid a visit to the newly established Mathematics Department of Ege University, in _Izmir, to apply for a post. In the very moments of my arrival, they introduced to me a young ... 
Nonhamming (rosenbloomtsfasman) metriğine göre kodların yapısı
(Anadolu Üniversitesi, 2004)Bu çalışmada ρ metriğine göre lineer kodların yapıları incelendi. Kodların yapılarından faydalanılarak, bu metriğe göre lineer ve devirli kodların minimum uzaklığının kolaylıkla tespit edilebildiği gösterildi. Bu metriğe ... 
On automorphic and modular forms in the space of the homogeneous polynomials with degree 2l and applications to the special matrix
(Elsevier, 20040513)An interesting connection exists between the space of homogeneous polynomials and the representations of the homogeneous modular group F(l). This linkage leads to become automorphic and modular forms for the representations ... 
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 ... 
On the Riesz basisness of the root functions of the nonselfadjoint SturmLiouville operator
(The Hebrew University Magnes Press, 2005)In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonselfadjoint SturmLiouville operators with periodic and antiperiodic boundary conditions, when the potential is an arbitrary ... 
Asymptotic formulas for the resonance eigenvalues of the Schrödinger operator
(TÜBİTAK, 2005)In this paper, we consider the Schrödinger operators defined by the differential expression ... in ddimensional paralellepiped F, with the Dirichlet and the Neumann boundary conditions, where q(x) is a real valued function ... 
Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions
(Elsevier, 200504)In this paper, we consider the Schrodinger operators defined by the differential expression Lu = Delta u+q(x)u in ddimensional parallelepiped F, with the Dirichlet and Neumann boundary conditions, and obtain the asymptotic ... 
Asymptotic formulas for Dirichlet boundary value problems
(Akademiai Kiado, 200505)In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint SturmLiouville operators with Dirichlet boundary conditions, when the potential is a summable ... 
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 ... 
Spectral expansion for a nonselfadjoint periodic differential operator
(Springer, 200603)In the paper, we construct the spectral expansion for the differential operator generated in L2(infinity,infinity) by an ordinary differential expression of arbitrary order with periodic complexvalued coefficients ... 
Asymptotic formulae for the Bloch eigenvalues near planes of diffraction
(Elsevier, 200612)In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the periodic Schrödinger operator △ + q(x), of arbitrary dimension, when the corresponding quasimomentum lies near planes of diffraction. 
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 ... 
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 ... 
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 ... 
Asymptotic formulas with arbitrary order for nonseleadjoint differential operators
(Akademiai Kiado, 200709)We obtain asymptotic formulas with arbitrary order of accuracy for the eigenvalues and eigenfunctions of a nonselfadjoint ordinary differential operator of order n whose coefficients are Lebesgue integrable on [0,1] and ... 
Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients
(Hindawi Publishing Corporation, 2008)We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coeffcients and the quasiperiodic boundary conditions. Using these ... 
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 ... 
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 ... 
On Hill's operator with a matrix potential
(Wiley, 20080901)In this article we obtain asymptotic formulas for eigenvalues and eigenfunctions of the selfadjoint operator generated by a system of SturmLiouville equations with summable coefficients and quasiperiodic boundary conditions. ...