Matematik / Mathematics: Recent submissions

  • On instantaneous invariants of hyperbolic planes 
    Abdullah Inalcik; Ersoy, Soley; Hellmuth Stachel (SAGE PUBLICATIONS LTD, 2017)
    In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also ...
  • Some convergence results for nearly asymptotically nonexpansive nonself mappings in CAT(kappa) spaces 
    Şahin, Aynur; Başarır, Metin (SPRINGER HEIDELBERG, 2017)
    The purpose of this paper is to prove the demi-closedness principle and convergence theorems for nearly asymptotically nonexpansive nonself mappings in CAT(kappa) spaces with kappa > 0. Our results extend and improve some ...
  • Cyclic codes over Z(4) + uZ(4) + u(2)Z(4) 
    Özen, Mehmet; Nazmiye Tugba Ozzaim; Nuh Aydin (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2017)
    In this paper, we study cyclic codes over the ring R = Z(4) + uZ(4) + u(2)Z(4), where u(3) = 0. We investigate Galois extensions of this ring and the ideal structure of these extensions. The results are then used to obtain ...
  • Revisiting Burmester theory with complex forms of Bottema's instantaneous invariants 
    K. Eren; Ersoy, Soley (TAYLOR & FRANCIS LTD, 2017)
    The objective of this study is to take advantage of using the concept of complex numbers for instantaneous geometric properties of planar motion of rigid bodies. We consider that both the fixed and the moving planes are ...
  • On the determination of solutions of simultaneous Pell equations x(2) - (a(2)-1) y(2) = y(2) - pz(2)=1 
    Keskin, Refik; Karaatlı, Olcay; Zafer Siar; Ummugulsum Ogut (SPRINGER, 2017)
    where p is prime and a > 1. Assuming the solutions of the Pell equation x(2) -(a(2) - 1) y(2) = 1 are x = x(m) and y = y(m) with m = 2, we prove that the system (0.1) has solutions only when m = 2 or m = 3. In the case of ...
  • 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) ...
  • ON NEW TYPES OF SETS VIA gamma-OPEN SETS IN BITOPOLOGICAL SPACES 
    Merve Ilkhan; Akyiğit, Mahmut; Emrah Evren Kara (ANKARA UNIV, FAC SCI, 2018)
    In this paper, the concept of (i,j)-gamma-P-open sets in bitopological spaces are introduced and characterizations of their related notions are given.
  • GENERALIZED FIBONACCI NUMBERS OF THE FORM 11x(2) 
    Öğüt, Ümmügülsüm; Keskin, Refik (HONAM MATHEMATICAL SOC, 2018)
    Let P >= 3 be an integer and let (U-n) denote generalized Fibonacci sequence defined by U-0 = 0, U-1 = 1 and Un+1 = PUn - Un-1 for n >= 1. In this study, when P is odd, we solve the equation U-n = 11x(2) + 1. We show that ...
  • The Hyperbolic Spinor Representation of Transformations in R-1(3) by Means of Split Quaternions 
    Mustafa Tarakcioglu; Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2018)
    In this study, firstly, we give a different approach to the relationship between the split quaternions and rotations in Minkowski space R-1(3). In addition, we obtain an automorphism of the split quaternion algebra H' ...
  • On The Lucas Sequence Equations V-n=7 square and V-n=7V(m)square 
    Karaatlı, Olcay; Keskin, Refik (SPRINGER, 2018)
    Let P be a nonzero integer and let (U-n) and (V-n) denote Lucas sequences of first and second kind defined by U-0 = 0, U-1 = 1; V-0 = 2, V-1 = P; and Un+1 = PUn + Un-1, Vn+1 = PVn + Vn-1 for n >= 1. In this study, when P ...
  • Pythagorean triples containing generalized Lucas numbers 
    Zafer Siar; Keskin, Refik (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
    Let P and Q be nonzero integers. Generalized Fibonacci and Lucas sequences are defined as follows: U-0(P, Q) = 0, U-1(P, Q) = 1, and Un+1(P, Q) = PUn(P, Q)+QU(n-1)(P, Q) for n >= 1 and V-0(P, Q) = 2, V-1(P, Q) = P, and ...
  • 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, ...
  • SUM FORMULAE OF GENERALIZED FIBONACCI AND LUCAS NUMBERS 
    Zvonko Cerin; Demirtürk Bitim, Bahar; Keskin, Refik (HONAM MATHEMATICAL SOC, 2018)
    In this paper we obtain some formulae for several sums of generalized Fibonacci numbers U-n and generalized Lucas numbers V-n and their dual forms G(n) and H-n by using extensions of an interesting identity by A. R. Amini ...
  • On some generalized difference sequences of fuzzy numbers 
    Başarır, Metin (ACADEMIC PUBLICATION COUNCIL, 2007)
    The purpose of this paper is to introduce the concepts of statistical convergence and strongly (p)-Cesaro convergence of generalized difference sequences of fuzzy numbers. We give some relations related to these concepts. ...
  • Introduction to disoriented knot theory 
    Altıntaş, İsmet (DE GRUYTER POLAND SP ZOO, 2018)
    This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such ...
  • 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 ...
  • Fluid flows of mixed regimes in porous media 
    Çelik, Emine; Luan Hoang; Akif Ibragimov; Thinh Kieu (AMER INST PHYSICS, 2017)
    In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy, and post-Darcy. Because of their different natures, these are usually treated separately in the literature. To study complex flows ...
  • 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 ...
  • A Note on Evolution of Curves in the Minkowski Spaces 
    Onder Gokmen Yildiz; Tosun, Murat (SPRINGER BASEL AG, 2017)
    In this paper, we study the evolution of non-null curve in n-dimensional Minkowski Space. We express evolution equation of the Frenet frame by matrix equation. We obtain integrability conditions for the evolutions. Finally, ...
  • Perfect 1-error-correcting Hurwitz weight codes 
    Güzeltepe, Murat; Alev Altinel (UNIV OSIJEK, DEPT MATHEMATICS, 2017)
    Let pi be a Hurwitz prime and p - pi pi*. In this paper, we construct perfect 1-error-correcting codes in H-pi(n) , for every prime number p > 3, where H denotes the set of Hurwitz integers.