Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 202102)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... 
Semiregular trees with minimal Laplacian spectral radius
(Elsevier Inc, 20100415)A semiregular tree is a tree where all nonpendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter ... 
Slant curves in the Lorentzian warped product manifold  I× fE²
(Birkhauser, 20220315)In this work, we study slant curves in the 3dimensional Lorentzian warped product  I× fE², where E² is a 2dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... 
Solitary waves in a fluidfilled thin elastic tube with variable crosssection
(Elsevier B.V, 200708)The present work treats the arteries as a thin walled prestressed elastic tube with variable crosssection and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluidfilled elastic ... 
Solitary waves in a tapered prestressed fluidfilled elastic tube
(Birkhauser Verlag Ag, 200403)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in ... 
Solitary waves in elastic tubes filled with a layered fluid
(PergamonElsevier Science, 200104)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... 
Solitary waves in fluidfilled elastic tubes: weakly dispersive case
(PergamonElsevier Science, 200103)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... 
Some boundary Harnack principles with uniform constants
(Springer Science and Business Media B.V., 20210410)We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods. 
Some inequalities which hold for starlike logharmonic mappings of order alpha
(Eudoxus Press, LLC., 201404)Let H(D) be the linear space of all analytic functions defined on the open disc D = {z vertical bar vertical bar z vertical bar < 1}. A logharmonic mappings is a solution of the nonlinear elliptic partial differential ... 
Some notes on spectra of cographs
(Charles Babbage Res Ctr, 201107)A cograph is a P4free graph. We first give a short proof of the fact that 0 (1) belongs to the spectrum of a connected cograph (with at least two vertices) if and only if it contains duplicate (resp. coduplicate) vertices. ... 
Some properties concerning closetoconvexity of certain analytic functions
(Springer International Publishing AG, 2012)Let f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of closetoconvexity for f(z) is discussed with ... 
Some properties of starlike harmonic mappings
(Springer International Publishing AG, 2012)A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, andwewill ... 
Some results on a starlike logharmonic mapping of order alpha
(Elsevier Science BV, 20140115)Let H(D) be the linear space of all analytic functions defined on the open unit disc D = z is an element of C : vertical bar z vertical bar < 1. A sense preserving logharmonic mapping is the solution of the nonlinear ... 
Some results on a subclass of harmonic mappings of order alpha
(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) = b1z + ∑∞ n=2 bnzⁿ, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ∈ SH(α) ⇔  zh′ (z) − zg′(z) h(z) ... 
Sönümlemeli sistemlerin eşlenmesi üzerine
(TÜBİTAK ULAKBİM TR Dizin, 2021)Bu makalede karşılıklı etki tepki içindeki iki sönümlemeli sistemin beraber (kollektif eşlenmiş) hareketinin analizi üzerine bir yöntem öneriyoruz. Aşikardır ki; eşlenmiş hareketi kontrol eden diferansiyel denklemler iki ... 
Spacelike surfaces in the Minkowski Space E1(4) with pointwise 1type Gauss maps
(Springer, 201906)We first classify spacelike surfaces in the Minkowski space E1(4), de Sitter space S1(3), and hyperbolic space H3 with harmonic Gauss maps. Then we characterize and present a classification of the spacelike surfaces ... 
Spacelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski Space E1(4) with pointwise 1Type Gauss map
(Springer, 201406)In this paper, we consider a class of spacelike rotational surfaces in Minkowski space E1(4) with 2dimensional axis. There are three types of rotational surfaces with 2dimensional axis, called rotational surfaces of ... 
Stability of solitary waves for threecoupled long waveshort wave interaction equations
(Oxford Univ Press, 201108)In this paper, we consider a threecomponent system of 1D long waveshort wave interaction equations. The system has twoparameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions ... 
Standing waves for a generalized DaveyStewartson system
(IOP Publishing, 20061027)In this paper, we establish the existence of nontrivial solutions for a semilinear elliptic partial differential equation with a nonlocal term. This result allows us to prove the existence of standing wave ( ground ... 
A study of higher order terms in shallow water waves via modified PLK method
(Walter De Gruyter Gmbh, 201404)In this work, by utilizing the modified PLK (PoincareLighthillKou) method, we studied the propagation of weakly nonlinear waves in a shallow water theory and obtained the KortewegdeVries (KdV) and the linearized KdV ...