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Browsing Matematik / Mathematics by Subject "Mathematics"

Now showing items 21-40 of 111

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 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 ...
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 ...
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 ...
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 ...
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 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 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 ...
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.
HOMFLY polynomials of torus links as generalized Fibonacci polynomials

Kemal Taskopru; Altıntaş, İsmet (ELECTRONIC JOURNAL OF COMBINATORICS, 2015)

The focus of this paper is to study the HOMFLY polynomial of (2, n)-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide ...
Integral points on the elliptic curve y(2) = x(3)+27x-62

Karaatlı, Olcay; Keskin, Refik (SPRINGEROPEN, 2013)

We give a new proof that the elliptic curve y(2) = x(3) + 27x - 62 has only the integral points (x, y) = (2, 0) and (x, y) = (28,844,402, +/- 15,491,585,540) using elementary number theory methods and some properties of ...
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 ...
Linear codes over F-q[u]/(u(s)) with respect to the Rosenbloom-Tsfasman metric

Özen, Mehmet (SPRINGER, 2006)

We investigate the structure of codes over F-q[u]/(u(s)) rings with respect to the Rosenbloom-Tsfasman (RT) metric. We de. ne a standard form generator matrix and show how we can determine the minimum distance of a code ...
Long-time behaviour of the solutions to inverse problems for parabolic equations

Gözükızıl, Ömer Faruk; Yaman, Metin (ELSEVIER SCIENCE INC, 2007)

We study long-time behaviour as t -> infinity of the solutions of the inverse problem for parabolic equation with an unknown source function. The overdetermination condition is given in integral form. Under some conditions, ...
Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip

Ahmet Dasdemir; Eröz, Mustafa (SPRINGER, 2015)

According to the principle of the three-dimensional linearized theory of elastic waves in initially stressed bodies, a dynamical stress field in a pre-stressed bi-layered plate-strip under the action of an arbitrary inclined ...