Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Generalized circles in Weyl spaces and their conformal mapping
(Kossuth Lajos Tudomanyegyetem, Matematikai Intezet Nagyerdeikorut, 200202)In this paper, generalized circles in a Weyl space are defined and the system of differential equations satisfied by them is obtained. Furthermore, after having given the necessary and sufficient conditions for generalized ... 
Generalized frames in the space of strong limit power functions
(Springer Basel AG, 201302)By using the existence of a larger orthonormal basis, the space of strong limit power functions is extended. We use the windowed Fourier transform and wavelet transform to analyze strong limit power signals and we construct ... 
Geometric representations and symmetries of graphs, maps and other discrete structures and applications in science
(Tübitak, 201509)Bu proje çalışmasının birinci amacı çizgelerin özdeğer ve özvektör yapılarını çizge özellik ve sabitleri ile ilişkilendirmektir. İkinci amacı biyoloji, bioinformatik, dinamik sistemler, haberleşme, kriptoloji ve sosyal ... 
Global existence and blowup for a class of nonlocal nonlinear Cauchy problems arising in elasticity
(IOP Publishing, 201001)We study the initialvalue problem for a general class of nonlinear nonlocal wave equations arising in onedimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function ... 
Global existence and nonexistence results for a generalized DaveyStewartson system
(IOP Publishing, 20041203)We consider a system of three equations, which will be called generalized DaveyStewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic ... 
Graphs of given order and size and minimum algebraic connectivity
(Elsevier Science Inc, 20120401)The structure of connected graphs of given size and order that have minimal algebraic connectivity is investigated. It is shown that they must consist of a chain of cliques. Moreover, an upper bound for the number of maximal ... 
Graphs with given degree sequence and maximal spectral radius
(Electronic Journal of Combinatorics, 20080915)We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is nonincreasing with respect ... 
Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co, 20161101)The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ... 
Harmonic function for which the second dilatation is αspiral
(Springer International Publishing AG, 2012)Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alphaspiral. 
Harmonic mappings for which coanalytic part is a closetoconvex function of order b
(Springer International Publishing, 20150116)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a closetoconvex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, ... 
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sensepreserving harmonic mappings in the open unit disc D = {z ∈ ℂz < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... 
Harmonic mappings related to Janowski starlike functions
(Elsevier Science BV, 201411)The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ... 
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 2014)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)  h(z) = z + ∑∞ n=2 anzⁿ, g(z) = ∑∞ n=1 bnzⁿ} The purpose of this talk is to present some results about harmonic mappings which was introduced by ... 
Harmonic mappings related to the mfold starlike functions
(Elsevier Science Inc, 20150915)In the present paper we will give some properties of the subclass of harmonic mappings which is related to mfold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... 
Headon collision of solitary waves in fluidfilled elastic tubes
(PergamonElsevier Science Ltd, 200508)In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ... 
Headon collision of the solitary waves in fluidfilled elastic tubes
(Işık University Press, 20180412)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the headon collision of solitary waves in arteries. Introducing a set of stretched coordinates ... 
Headoncollision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(PergamonElsevier Science Ltd, 20090830)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... 
Higher order approximations in reductive perturbation method: Strongly dispersive waves
(200508)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ionplasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... 
Higher order perturbation expansion for ionacoustic solitary waves with qnonextensive nonthermal velocity distribution
(Işık University Press, 20180911)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid qnonextensive nonthermal velocity distribution are examined through the use of ... 
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 201001)In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ...