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Browsing Matematik / Mathematics by Title

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  • Ball and Burmester points in Lorentzian sphere kinematics 
    Abdullah Inalcik; Ersoy, Soley (ACADEMIC PUBLICATION COUNCIL, 2015)
    In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants and define Lorentzian inflection curve, Lorentzian circling points curve and Lorentzian cubic of twice stationary curve, ...
  • Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space 
    Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (ACADEMIC PUBLICATION COUNCIL, 2014)
    In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space E-v(n+1). The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are ...
  • Bobillier Formula for One Parameter Motions in the Complex Plane 
    Ersoy, Soley (ASME-AMER SOC MECHANICAL ENG, 2012)
    This is a brief note expanding on the aspect of Fayet (2002, "Bobillier Formula as a Fundamental Law in Planar Motion," Z. Angew. Math. Mech., 82(3), pp. 207-210), which investigates the Bobillier formula by considering ...
  • 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 ...
  • Cebir 
    Çallıalp, Fethi (Sakarya Üniversitesi, 1994)
  • Centrohermitian and Skew-Centrohermitian Solutions to the Minimum Residual and Matrix Nearness Problems of the Quaternion Matrix Equation (AXB, DXE) = (C, F) 
    S. Simsek; Sarduvan, Murat; H. Ozdemir (SPRINGER BASEL AG, 2017)
    It is established that the precise solutions on the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F) for centrohermitian and skew-centrohermitian matrices, where X is an ...
  • 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 ...
  • Common Fixed Point Theorems Satisfying Contractive Type Conditions in Complex Valued Metric Spaces 
    Öztürk, Mahpeyker (HINDAWI PUBLISHING CORPORATION, 2014)
    Some common fixed point theorems satisfying contractive conditions involving rational expressions and product for four mappings that satisfy property (E.A) along with weak compatibility of pairs are proved and further some ...
  • Commutative Quaternion Matrices 
    Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate ...
  • Continuous Dependence for the Pseudoparabolic Equation 
    Yaman, Metin; Gür, Şevket (HINDAWI PUBLISHING CORPORATION, 2010)
    We determine the continuous dependence of solution on the parameters in a Dirichlet-type initial-boundary value problem for the pseudoparabolic partial differential equation.
  • 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, ...
  • Convergence and Data Dependence Results of an Iteration Process in a Hyperbolic Space 
    Şahin, Aynur; Başarır, Metin (UNIV NIS, FAC SCI MATH, 2016)
    In this paper we prove the strong and Delta-convergence theorems of an iteration process of Khan et al. (J. Appl. Math. Comput. 35 (2011) 607-616) for three finite families of total asymptotically nonexpansive nonself ...
  • Cyclic and some constacyclic codes over the ring Z(4)[u]/< u(2)-1 > 
    Özen, Mehmet; Fatma Zehra Uzekmek; Nuh Aydin; N. Tugba Ozzaim (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016)
    In this paper, we study cyclic codes and constacyclic codes with shift constant (2 + u) over R = Z(4) + uZ(4), where u(2) = 1. We determine the form of the generators of the cyclic codes over this ring and their spanning ...
  • Cyclic codes over some finite quaternion integer rings 
    Güzeltepe, Murat (PERGAMON-ELSEVIER SCIENCE LTD, 2011)
    In this paper, cyclic codes are studied over some finite quaternion integer rings with respect to the quaternion Mannheim distance. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
  • 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 ...
  • Decay and growth estimates for solutions of second-order and third-order differential-operator equations 
    Yılmaz, Yalçın (PERGAMON-ELSEVIER SCIENCE LTD, 2013)
    We obtained decay and growth estimates for solutions of second-order and third-order differential-operator equations in a Hilbert space. Applications to initial-boundary value problems for linear and nonlinear non-stationary ...
  • DETERMINATION OF HEAVY METALS IN SAPANCA LAKE, TURKEY, WITH MICROWAVE ASSISTED DIGESTION AND ICP-MS METHODS 
    Zeynep Karacoban; Huseyin Altundag; Mustafa S. Dundar; Ateş, Asude; Güngör, Mehmet Ali; Selma Altundag (PARLAR SCIENTIFIC PUBLICATIONS (P S P), 2017)
    In the present work, the aim is to determine seasonal changes in the concentrations of Cd, Cr, Cu, Fe, Pb, Mn, Ni and Zn in the water of Sapanca Lake and to determine the water quality. Sapanca is one of lakes which can ...