Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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The effect of a bump on wave propagation in a fluidfilled elastic tube
(PergamonElsevier Science Ltd., 200401)In the present work, treating the arteries as a thin walled prestressed elastic tube with variable crosssection, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a ... 
Epidemiyolojideki kompartman modellerinin eşlenmiş Hamilton analizi
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 20210113)Epidemiyolojideki SIR, SEIR, 2SIR ve 2SEIR modellerinin Hamilton formülasyonu verildi. Eşlenmiş LiePoisson sistemleri yazıldı. SIR ve SEIR modellerinin eşlenmiş LiePoisson sistemi oldukları gösterildi. Bir Lie cebiri ... 
Eshelby tensors for a spherical inclusion in microstretch elastic fields
(Elsevier Ltd, 200608)In the present work, microelastic and macroelastic fields are presented for the case of spherical inclusions embedded in an infinite microstretch material using the concept of Green's functions. The Eshelby tensors are ... 
Eşlenmiş Lie grupları üzerindeki Lagrange fark denklemleri
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 20210309)Bu makalede, kesikli (discrete) dinamiğin Lagrange formülasyonu eşlenmiş (matched pair) Lie grupları üzerinde çalışılmıştır. Sonuç olarak, karşılıklı etkileşim altındaki iki sistemin kolektif davranışını belirleyen eşlenmiş ... 
Exact solution of perturbed Kdv equation with variable dissipation coefficient
(Ministry Communicatios & High Technologies Republic Azerbaijan, 2017)In the present work we study the integrability condition for a variable coefficient KortewegdeVries(KdV) equation. For that purpose, we first introduce some proper transformations for dependent and independent variables ... 
Extended reductive perturbation method and its relation to the renormalization method
(Walter De Gruyter GMBH, 20131025)In this work, by utilizing the extended reductive perturbation method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and formally obtained the governing evolution equations of various ... 
An extension of a boundedness result for singular integral operators
(Polska Akademia Nauk, 20160330)We study some operators originating from classical Littlewood–Paley the ory. We consider their modification with respect to our discontinuous setup, where the un derlying process is the product of a onedimensional ... 
Extension of mikhlin multiplier theorem to fractional derivatives and stable processes
(Walter De Gruyter GMBH, 20180425)In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integration intervals. We also discuss the connection ... 
Facility placement with subaisle design in an existing layout
(Elsevier Science BV, 20090816)In this paper, we consider the integration of facility placement in an existing layout and the configuration of one or two connecting subaisles. This is relevant, for example, when placing a new machine/department on a ... 
Forced KdV equation in a fluidfilled elastic tube with variable initial stretches
(PergamonElsevier Science Ltd, 200911)In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate ... 
Forced Kortewegde VriesBurgers equation in an elastic tube filled with a variable viscosity fluid
(PergamonElsevier Science Ltd, 200811)In the present work, treating the arteries as a prestressed thin walled elastic tube with a stenosis and the blood as a Newtonian fluid with variable viscosity, we have studied the propagation of weakly nonlinear waves in ... 
Fourcycled graphs with topological applications
(Birkhauser Verlag AG, 201203)We call a simple graph G a 4cycled graph if either it has no edges or every edge of it is contained in an induced 4cycle of G. Our interest on 4cycled graphs is motivated by the fact that their clique complexes play an ... 
Fractional Hankel and Bessel wavelet transforms of almost periodic signals
(Springer International Publishing, 20151209)The main objective of this paper is to study the Hankel, fractional Hankel, and Bessel wavelet transforms using the Parseval relation. We construct a generalized frame and write new relations and inequalities using almost ... 
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 ...