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Browsing Matematik / Mathematics by Subject "Mathematics"

Browsing Matematik / Mathematics by Subject "Mathematics"

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  • A CONSTRUCTION OF HYPERBOLIC SPINORS ACCORDING TO FRENET FRAME IN MINKOWSKI SPACE 
    Zeynep Ketenci; Tulay Erisir; Güngör, Mehmet Ali (TAYLOR & FRANCIS LTD, 2015)
    In this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is expressed. Then, the fundamental theorem of ...
  • A generalization of the Alexander polynomial as an application of the delta derivative 
    Altıntaş, İsmet; Kemal Taskopru (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
    In this paper, we define the delta derivative in the integer group ring and we show that the delta derivative is well defined on the free groups. We also define a polynomial invariant of oriented knot and link by carrying ...
  • A note on linear combinations of commuting tripotent matrices 
    Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)
    The purpose of this note is to characterize all situations in which a linear combination of two commuting tripotent matrices is also a tripotent matrix. In the case of real scalars and real symmetric matrices, this problem ...
  • A NOTE ON SOME DIOPHANTINE EQUATIONS 
    Keskin, Refik; Merve Guney Duman (UNIV MISKOLC INST MATH, 2017)
    Let k >= 3 be an odd integer. In this paper we investigate all positive integer solutions of the equations x(4) - kx(2) y + y(2) = -/+ A, x(4) kx(2) y + y(2) = -/+ A(k(2) - 4), x(4) - (k(2) - 4)y(2) = -/+ 4A, and x(2) - ...
  • A note on some Fuchsian groups 
    Keskin, Refik (SPRINGER, 2005)
    In this paper, we introduce some Fuchsian groups and calculate their parabolic class numbers. In addition, we give two conjectures concerning with the parabolic class number.
  • A note on some subgroups of PSL(2,C) 
    Keskin, Refik (WORLD SCIENTIFIC PUBL CO PTE LTD, 2003)
    In this paper, we introduce some discrete subgroups of PSL(2, C) and determine the number of cusps of 3-manifolds associated to those groups.
  • A note on the roots of some special type polynomials 
    Halıcı, Serpil (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)
    We give some fundamental properties related to them. Also, we obtain asymptotic results for the roots of polynomials G(n)((k))(X).
  • A Phragmen-Lindelof type theorem for quasilinear viscoelasticity equations 
    Yılmaz, Yalçın; Yılmaz, Yücel (PERGAMON-ELSEVIER SCIENCE LTD, 2007)
    We obtained the spatial growth and decay estimates for solutions of a class of quasilinear equations modelling dynamic viscoelasticity in a domain Omega x (0, T), where Omega subset of R-n is a semi-infinite cylinder. (C) ...
  • A Study on Dual Hyperbolic Fibonacci and Lucas Numbers 
    Arzu Cihan; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat (OVIDIUS UNIV PRESS, 2019)
    In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers. Additionally, we give the identities regarding negadual-hyperbolic ...
  • A. note on some modular subgroups 
    Keskin, Refik (ROCKY MT MATH CONSORTIUM, 2005)
    In this study, we introduce some modular subgroups and we calculate parabolic class numbers of those groups. In addition to this, we gave a nice formula for the parabolic class number of Gamma(0)(n(2)).
  • Active control of a smart beam with time delay by Legendre wavelets 
    Yılmaz, Yalçın (ELSEVIER SCIENCE INC, 2012)
    Active vibration control in a flexible beam is investigated by taking into account the time-delay which may occur in voltage controlled piezoelectric actuators. The voltage applied to a piezoelectric patch actuator to ...
  • AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS 
    Özen, Mehmet; Minjia Shi; Vedat Siap (KOREAN MATHEMATICAL SOC, 2015)
    This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and ...
  • An oriented state model for the Jones polynomial and its applications alternating links 
    Altıntaş, İsmet (ELSEVIER SCIENCE INC, 2007)
    In this paper, we de. ne a polynomial invariant of regular isotopy, G(L), for oriented knot and link diagrams L. From G(L) by multiplying it by a normalizing factor, we obtain an ambient isotopy invariant, N-L, for oriented ...
  • Asymptotic behaviour of the solutions of inverse problems for pseudo-parabolic equations 
    Yaman, Metin; Gözükızıl, Ömer Faruk (ELSEVIER SCIENCE INC, 2004)
    We study asymptotic proximity as t --> infinity of the Solutions of the inverse problem for a pseudo-parabolic equation with an unknown source function. The overdetermination condition is given in integral form. (C) 2003 ...
  • Bobillier Formula for the Elliptical Harmonic Motion 
    Furkan Semih Dundar; Ersoy, Soley; Nuno T. Sa Pereira (OVIDIUS UNIV PRESS, 2018)
    In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of pi/2. It is ...
  • Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric 
    Özen, Mehmet (PERGAMON-ELSEVIER SCIENCE LTD, 2007)
    We investigate the structure of codes over Galois rings with respect to the Rosenbloom-Tsfasman (shortly RT) metric. We define a standard form generator matrix and show how we can determine the minimum distance of a code ...
  • Codes over Hurwitz integers 
    Güzeltepe, Murat (ELSEVIER SCIENCE BV, 2013)
    In this study, we obtain new classes of linear codes over Hurwitz integers equipped with a new metric. We refer to the metric as the Hurwitz metric. Also, we define decoding algorithms for these codes when up to two ...
  • Continuous dependence of semilinear Petrovsky equation 
    Kocaman, Hüseyin; Yaman, Metin; Gür, Şevket (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2017)
    In this study, we obtain the continuous dependence on the coefficients of solutions of semilinear Petrovsky equation. Such models are involved in various fields of mathematical physics likewise geophysical and oceanic ...
  • Continuous dependence of solutions to fourth-order nonlinear wave equation 
    Ipek Gulec; Gür, Şevket (HACETTEPE UNIV, FAC SCI, 2016)
    This paper gives a priori estimates and continuous dependence of the solutions to fourth-order nonlinear wave equation.
  • Continuous dependence of solutions to the strongly damped nonlinear Klein-Gordon equation 
    Gür, Şevket; Mesude Elif Uysal (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
    This article is devoted to the study of the initial-boundary value problem for the strongly damped nonlinear Klein-Gordon equation. It is proved that the solution depends continuously on changes in the damping terms, ...