Başlık için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 240, listelenen: 67-86
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Generalized frames in the space of strong limit power functions
(Springer Basel AG, 2013-02)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, 2015-09)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 blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity
(IOP Publishing, 2010-01)We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function ... -
Global existence and nonexistence results for a generalized Davey-Stewartson system
(IOP Publishing, 2004-12-03)We consider a system of three equations, which will be called generalized Davey-Stewartson 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, 2012-04-01)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, 2008-09-15)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 non-increasing with respect ... -
Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co, 2016-11-01)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 α-spiral
(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 alpha-spiral. -
Harmonic mappings for which co-analytic part is a close-to-convex function of order b
(Springer International Publishing, 2015-01-16)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, ... -
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 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, 2014-11)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 m-fold starlike functions
(Elsevier Science Inc, 2015-09-15)In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
(Pergamon-Elsevier Science Ltd, 2005-08)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 ... -
Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04-12)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ... -
Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(Pergamon-Elsevier Science Ltd, 2009-08-30)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
(2005-08)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... -
Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
(Işık University Press, 2018-09-11)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of ... -
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 2010-01)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 ... -
A Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
(Oxford Univ Press, 2009-02)In one space dimension, a non-local elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higher-order Boussinesq equation using ...
