Browsing FEF, Matematik Bölümü, Makale Koleksiyonu by Title
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A short survey on mathematical work of Cemal Koc
(TÜBİTAK, 2010)first met Cemal Koç during Spring semester of 1977. He was then a young associate professor at the Middle East Technical University, Ankara, and I was a Ph.D. student attending his graduate course on noncommutative rings. ... 
Some paradoxes in mathematics
(Doğuş Üniversitesi, 20000115)We have explained some paradoxes in the set theory of mathematics. 
Some sufficient conditions for the Taketa inequality
(The Japan Academy, 20131015)In this study we have obtained some sufficient conditions for the Taketa inequality namely dl(G)≤cd(G) for finite solvable groups G. 
Some vector fields on a riemannian manifold with semi  symmetric metric connection
(Iranian Mathematical Society, 201207)In the first part of our work, some results are given for a Riemannian manifold with semisymmetric metric connection. In the second part, some special vector fields, such as torseforming vector fields, recurrent vector ... 
The spectra of two  parameter quadratic operator pencils
(Elsevier, 201107)This paper is devoted to a variational theory of the eigenvalue spectra of twoparameter, unbounded operator pencils, of the socalled waveguide type, which have important physical applications. It is known that the ... 
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 ... 
Spectral problems of a class of nonselfadjoint onedimensional Schrodinger operators
(Acedemic Press, 20150215)In this paper we investigate the onedimensional Schrodinger operator L(q) with complexvalued periodic potential q when q is an element of L1[0,1] and q(n) = 0 for n = 0, 1, 2, ..., where qn are the Fourier coefficients ... 
The spectrum of the Hamiltonian with a PTsymmetric Periodic Optical Potential
(World Scientific, 2017)We give a complete description, provided with a mathematical proof, of the shape of the spectrum of the Hill operator with potential 4 cos2 x+4iV sin 2x, where V ∈ (0, ∞). We prove that the second critical point V2, after ... 
Stacksortable permutations and polynomials
(TÜBİTAK, 2009)The Catalan numbers show up in a diverse variety of counting problems. In this note we give yet another characterization of the Catalan number C(n). It is characterized as the dimension of a certain space of multilinear ... 
Structure theory of central simple Zdgraded algebras
(TÜBİTAK, 2012)This paper investigates the structure theory of Zd central simple graded algebras and gives the complete decomposition into building block algebras. The results are also applied to generalized Clifford algebras, which are ... 
Symmetry classification of third  order nonlinear evolution equations. Part I: semi  simple algebras
(Springer Verlag, 201304)We give a complete pointsymmetry classification of all thirdorder evolution equations of the form u (t) =F(t,x,u,u (x) ,u (xx) )u (xxx) +G(t,x,u,u (x) ,u (xx) ) which admit semisimple symmetry algebras and extensions ... 
Symmetry classification of variable coefficient cubicquintic nonlinear schrodinger equations
(American Institute of Physics, 201302)A Liealgebraic classification of the variable coefficient cubicquintic nonlinear Schrodinger equations involving 5 arbitrary functions of space and time is performed under the action of equivalence transformations. It ... 
Type N spacetimes as solutions of extended new massive gravity
(Elsevier, 20120501)We study algebraic type N spacetimes in the extended new massive gravity (NMG), considering both the BornInfeld model (BINMG) and the model of NMG with any finite order curvature corrections. We show that for these ... 
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 ... 
Uniform decay rates for the energy of weakly damped defocusing semilinear Schrodinger equations with inhomogeneous Dirichlet boundary control
(Elsevier, 20111001)In this paper, we study the open loop stabilization as well as the existence and regularity of solutions of the weakly damped defocusing semilinear Schrodinger equation with an inhomogeneous Dirichlet boundary control. ... 
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 ... 
Variable coefficient nonlinear Schrödinger equations with four  dimensional symmetry groups and analysis of their solutions
(AIP, 201109)Analytical solutions of variable coefficient nonlinear Schroumldinger equations having fourdimensional symmetry groups, which are in fact the next closest to the integrable ones occurring only when the Lie symmetry group ... 
A variational approach to the problem of oscillations of an elastic half cylinder
(Iranian Mathematical Society, 2012)This paper is devoted to the spectral theory (more precisely, to the variational theory of the spectrum) of guided waves in an elastic half cylinder. We use variational methods to investigate several aspects of propagating ... 
Weakly  damped focusing nonlinear Schrodinger equations with Dirichlet control
(Elsevier, 20120501)In this article we consider the weakly damped focusing nonlinear Schrodinger equations on bounded domains at the natural H1energy level with Dirichlet control acting on a portion of the boundary. We introduce the dynamic ... 
Weakly prime elements in multiplicative lattices
(Taylor & Francis, 2012)In this article, we study weakly prime elements and almost prime elements in multiplicative lattices. Next we characterize weak pilattices and weak principal element lattices. We also establish new characterizations for ...