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Browsing Matematik / Mathematics by Author "Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü"

Browsing Matematik / Mathematics by Author "Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü"

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  • 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 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 ...
  • Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media 
    Çelik, Emine; Luan Hoang; Thinh Kieu (IOP PUBLISHING LTD, 2018)
  • Dual Lorentzian spherical motions and dual Euler-Savary formula 
    Güngör, Mehmet Ali; Ersoy, Soley; Tosun, Murat (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2009)
    In this paper, defining one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and we have obtained the relations between the absolute, relative and sliding velocities of these motions. In ...
  • Elliptical Harmonic Motion and Euler-Savary Formula 
    Nuno T. Sa Pereira; Ersoy, Soley (SPRINGER BASEL AG, 2016)
    In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In addition, we have found the relationships between the absolute, the relative and the sliding velocities and accelerations of ...
  • Energy Decay and Continuous Dependence for Damped Semilinear Wave Equation 
    Sevket Guer; Gür, Şevket; Metin Yaman (SPRINGER INTERNATIONAL PUBLISHING AG, 2019)
    We study uniform stabilization and the continuous dependence of solutions to an initial and boundary value problem for a nonlinear hyperbolic equation with (possibly strong) linear damping.
  • Exact solutions of Benjamin-Bona-Mahony-Burgers-type nonlinear pseudo-parabolic equations 
    Gözükızıl, Ömer Faruk (SPRINGER INTERNATIONAL PUBLISHING AG, 2012)
    In this paper, we consider some nonlinear pseudo-parabolic Benjamin-Bona-Mahony-Burgers (BBMB) equations. These equations are of a class of nonlinear pseudo-parabolic or Sobolev-type equations , alpha is a fixed positive ...
  • Fibonacci and Lucas Congruences and Their Applications 
    Keskin, Refik; Demirtürk Bitim, Bahar (SPRINGER HEIDELBERG, 2011)
    In this paper we obtain some new identities containing Fibonacci and Lucas numbers. These identities allow us to give some congruences concerning Fibonacci and Lucas numbers such as L2mn+k equivalent to (-1)((m+1)n) L-k ...
  • Fibonacci Generalized Quaternions 
    Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci ...