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Browsing Matematik / Mathematics by Title

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  • 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 ...
  • Finite time blow up of solutions to an inverse problem for a quasilinear parabolic equation with power nonlinearity 
    Gür, Şevket; Yaman, Metin; Yılmaz, Yalçın (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)
    We consider an inverse problem for quasilinear parabolic equations with type power nonlinearity. Sufficient conditions on initial data for blow up result are obtained with positive initial energy. Over determination condition ...
  • 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 ...
  • Forced Vibration of the Pre-Stressed and Imperfectly Bonded Bi-Layered Plate Strip Resting on a Rigid Foundation 
    Hazar, Elman; Eröz, Mustafa (TECH SCIENCE PRESS, 2013)
    Within the scope of the piecewise homogeneous body model with utilizing of the three dimensional linearized theory of elastic waves in initially stressed bodies the influence of the shear-spring type imperfection of the ...
  • Forced vibration of the pre-stressed bi-layered plate-strip with finite length resting on a rigid foundation 
    Yıldız, Aysel; Eröz, Mustafa; Yıldız, Abdullah (ELSEVIER SCIENCE INC, 2011)
    Within the scope of the piecewise homogeneous body model utilizing Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies the time-harmonic dynamical stress field in the pre-stressed bi-layered ...
  • Fully renormalized quasi-particle random phase approximation, spurious states and ground state correlations 
    Guliyev, Ali; Güner, Mehmet (IOP PUBLISHING LTD, 2004)
    An approach, called fully renormalized QRPA (FR-QRPA), which takes into account the Pauli principle for the ground state correlations (GSC) and fulfills the Ikeda sum rule has recently been developed. Here a new rotational ...
  • Generalized difference sequence spaces associated with a multiplier sequence on a real n-normed space 
    Konca, Şükran; Başarır, Metin (SPRINGEROPEN, 2013)
    The purpose of this paper is to introduce new sequence spaces associated with a multiplier sequence by using an infinite matrix, an Orlicz function and a generalized B-difference operator on a real n-normed space. Some ...
  • Generalized Fibonacci and Lucas numbers of the form 5x(2) 
    Keskin, Refik; Karaatlı, Olcay (WORLD SCIENTIFIC PUBL CO PTE LTD, 2015)
    Let (U-n(P, Q) and (V-n(P, Q) denote the generalized Fibonacci and Lucas sequences, respectively. In this study, we assume that Q = 1. We determine all indices n such that U-n = 5 square and U-n = 5U(m)square under some ...
  • GENERALIZED FIBONACCI AND LUCAS NUMBERS OF THE FORM wx(2) AND wx(2) 1 
    Keskin, Refik (KOREAN MATHEMATICAL SOC, 2014)
    Let P >= 3 be an integer and let (U-n) and (V-n) denote generalized Fibonacci and Lucas sequences 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 is odd, ...
  • Generalized Fibonacci numbers of the form 
    Keskin, Refik; Öğüt, Ümmügülsüm (SPRINGER, 2016)
    Let be an integer and let and denote generalized Fibonacci and Lucas sequences defined by ; and , for In this study, when P is odd, we solve the equation for After then, we solve some Diophantine equations utilizing solutions ...
  • 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 ...
  • Generalized Forchheimer flows in heterogeneous porous media 
    Çelik, Emine; Luan Hoang; Luan Hoang (IOP PUBLISHING LTD, 2016)
    We study the generalized Forchheimer flows of slightly compressible fluids in heterogeneous porous media. The media's porosity and coefficients of the Forchheimer equation are functions of the spatial variables. The partial ...
  • Generalized Forchheimer Flows of Isentropic Gases 
    Çelik, Emine; Luan Hoang; Thinh Kieu (SPRINGER BASEL AG, 2018)
  • GENERALIZED LUCAS NUMBERS OF THE FORM 5kx(2) AND 7kx(2) 
    Karaatlı, Olcay; Keskin, Refik (KOREAN MATHEMATICAL SOC, 2015)
    Generalized Fibonacci and Lucas sequences (U-n) and (V-n) are defined by the recurrence relations Un+1 = PUn +QU(n-1) and Vn+1 = PVn + QV(n-1), n >= 1, with initial conditions U-0 = 0, U-1 = 1 and V-0 = 2, V-1 = P. This ...
  • Generalized quadraticity of linear combination of two generalized quadratic matrices 
    Petik, Tuğba; Özdemir, Halim (TAYLOR & FRANCIS LTD, 2015)
    It is investigated the necessary and sufficient conditions for the generalized quadraticity of a linear combination of any two generalized quadratic matrices. The main result obtained is, in a sense, a generalization of ...
  • GENERALIZED SPACELIKE BERTRAND CURVES IN MINKOWSKI 5-SPACE R-1(5) 
    Ersoy, Soley (NATL INQUIRY SERVICES CENTRE PTY LTD, 2014)
    In this paper, we give the definition of the generalization of spacelike Bertrand curves and obtain the characterization of these curves in Minkowski 5-space R-1(5). Moreover, we define three types special spacelike Bertrand ...
  • Generalized Timelike Mannheim Curves in Minkowski Space-Time E-1(4) 
    Özgür, İbrahim; Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (HINDAWI PUBLISHING CORPORATION, 2011)
    We give the definition of generalized timelike Mannheim curve in Minkowski space-time E-1(4). The necessary and sufficient conditions for the generalized timelike Mannheim curve are obtained. We show some characterizations ...
  • Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame 
    Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2015)
    In this paper, we study to express the theory of curves including a wide section of Lorentzian geometry in terms of spinors with two hyperbolic components which has an important place in the Clifford algebra. In other ...
  • Global Asymptotic Stability of Solutions to Nonlinear Marine Riser Equation 
    Gür, Şevket (HINDAWI PUBLISHING CORPORATION, 2010)
    This paper studies initial boundary value problem of fourth-order nonlinear marine riser equation. By using multiplier method, it is proven that the zero solution of the problem is globally asymptotically stable.