Browsing FEF, Matematik Bölümü, Makale Koleksiyonu by Title
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On a semi symmetric metric connection with a special condition on a Riemannian manifold
(European Journal of Pure and Applied Mathematics, 2011)In this study, we consider a manifold equipped with semi symmetric metric connection whose the torsion tensor satisfies a special condition. We investigate some properties of the Ricci tensor and the curvature tensor of ... 
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 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. ... 
On multiplication lattice modules
(Hacettepe Üniversitesi, 201408)In this paper we study multiplication lattice modules. Next we characterize hollow lattices modules. We also establish maximal elements in multiplication lattices modules. In [16], we introduced the concept of a multiplication ... 
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 ... 
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 ... 
On sectional curvature of a Riemannian manifold with semi  symmetric metric connection
(Polish Academy of Sciences, Institute of Mathematics, 2011)We prove that if the sectional curvature of an ndimensional pseudosymmetric manifold with semisymmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and ... 
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 ... 
On the basis property of the root functions of differential operators with matrix coefficients
(Springer Verlag, 201106)We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then ... 
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 ... 
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 ... 
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 ... 
On the differential operators with periodic matrix coefficients
(Hindawi Publishing Corporation, 2009)We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. Then by using these ... 
On the estimations of the small periodic eigenvalues
(Hindawi Publishing Corporation, 2013)We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently differentiable potential by two different methods. Then using it we give the high precision approximations for the length of ... 
On the influence of fixed point free nilpotent automorphism groups
(Springer, 201712)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 for all nonidentity elements . Let FH be a Frobeniuslike group with complement H ... 
On the nonself  adjoint ordinary differential operators with periodic boundary conditions
(Springer Verlag, 201003)In this article we obtain asymptotic formulas for eigenvalues and eigenfunctions of the nonselfadjoint ordinary differential operator with periodic and antiperiodic boundary conditions, when coefficients are arbitrary ... 
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 basis property of the eigen and associated functions of periodic and antiperiodic Sturm  Liouville problems
(Springer, 200906)he paper deals with the SturmLiouville operator L(y) = y '' + q(x)y, x is an element of [0,1], generated in the space L(2) = L(2)[0, 1] by periodic or antiperiodic boundary conditions. Several theorems on the Riesz basis ... 
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 ... 
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, ...