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Browsing Matematik Bölümü / Department of Mathematics by Title

Browsing Matematik Bölümü / Department of Mathematics by Title

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  • Akın, Ömer; Khaniyev, Tahir; Oruc, O.; Türkşen, İ. B. (Pergamon-Elsevier Science Ltd, 2013-01)
    In this paper, we state a fuzzy initial value problem of the second order fuzzy differential equations. Here we investigate problems with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions. We ...
  • Kayan, S.; Merdan, Hüseyin (Springer, 2017-07)
    We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reaction-diffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf ...
  • Hopkins, Tim; Kılıç, Emrah (Elsevier B. V., 2018-06-01)
    We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. ...
  • Lanphier, Dominic; Ürtiş, Çetin (Academic Press Inc Elsevier Science, 2015-06)
    We prove Galois equivariance of ratios of Petersson inner products of holomorphic cuspforms on symplectic, unitary, or Hermitian orthogonal groups. As a consequence, we show that the ratios of Petersson norms of such ...
  • Bulut, H.; Merdan, Hüseyin; Swigon, D. (American Institute of Physics Inc., 2019-02)
    We present a mathematical model for a market involving two stocks which are traded within a single homogeneous group of investors who have similar motivations and strategies for trading. It is assumed that the market ...
  • Kılıç, Emrah; Prodinger, Helmut (Mathematical Institute of the Serbian Academy of Sciences and Arts, 2014)
    Four generalizations of the Filbert matrix are considered; with additional asymmetric parameter settings. Explicit formula are derived for the LU-decompositions, their inverses, and the inverse matrix. The approach is ...
  • Kılıç, Emrah; Arıkan, Talha (Taylor and Francis Ltd., 2019-01)
    In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ...
  • Kayan, S.; Merdan, Hüseyin; Yafia, R.; Goktepe, S. (EDP Sciences, 2017)
    We study stability and Hopf bifurcation analysis of a model that refers to the competition between the immune system and an aggressive host such as a tumor. The model which describes this competition is governed by a ...
  • Merdan, Hüseyin; Caginalp, G.; Troy, W. C. (American Mathematical Society, 2016)
    We study the stability and Hopf bifurcation analysis of an asset pricing model that is based on the model introduced by Caginalp and Balenovich, under the assumption of a fixed amount of cash and stock in the system. First, ...
  • Yafia, R.; Aziz-Alaoui, M. A.; Merdan, Hüseyin; Tewa, J. J. (World Scientific Publishing Co. Pte Ltd, 2015-06)
    The model analyzed in this paper is based on the model set forth by Aziz Alaoui et al. [Aziz Alaoui & Daher Okiye, 2003; Nindjin et al., 2006] with time delay, which describes the competition between the predator and prey. ...
  • Koçak, Neşe; Koçak, Onur; Özbudak, Ferruh; Saygı, Zülfükar (Inderscience Online, 2015)
    In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before ...
  • Arikan, Talha; Kılıç, Emrah (Taylor and Francis Ltd., 2017)
    A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper ...
  • Kılıç, Emrah; Prodinger, H. (Univ Miskolc Inst Math, 2017)
    Recently Melham [1] gives closed formul ae for certain finite reciprocal sums. In this paper, we present a different approach to compute these sums in closed form. Our approach is straight-forward and simple. First we ...
  • Kılıç, Emrah; Prodinger, Helmut (Politechnica University of Bucharest, 2016)
    We give a systematic approach to compute certain sums of squares Fibonomial coefficients with powers of generalized Fibonacci and Lucas numbers as coefficients; the range of the summation is not the natural one but about ...
  • Kılıç, Emrah; Prodinger, Helmut (De Gruyter Open Ltd, 2016-06)
    We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. The technique is to rewrite everything in terms ...
  • Aksoylu, Burak; Çeliker, Fatih (Springer Verlag, 2016)
    We present a comparative study of integral operators used in nonlocal problems. The size of nonlocality is determined by the parameter ?. The authors recently discovered a way to incorporate local boundary conditions into ...
  • Akın, Ömer; Bayeğ, Selami (Kyrgyz Turkish Manas UniversityKırgızistan Türkiye Manas Üniversitesi, 2018)
    In this paper we have rstly dened a metric based on the Hausdor metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of intuitionistic fuzzy number valued ...
  • Aksoylu, Burak; Unlu, Zuhal (Society for Industrial and Applied Mathematics Publications, 2014-03)
    We study the conditioning of nonlocal integral operators with singular and integrable kernels in fractional Sobolev spaces. These operators are used, for instance, in peridynamics formulation and nonlocal diffusion. In one ...
  • Kılıç, Emrah; Akkus, Ilker; Omur, Nese; Yucel T. (World Scientific Publishing Co. Pte Ltd, 2015-09)
    In this paper, we consider two generalized binary sequences and then give a generalization of a matrix equality proposed as an advanced problem. Then, we derive new certain finite sums including the generalized binary ...
  • Irmak, Nurettin; Kılıç, Emrah (Udruga Matematicara Osijek, 2016)
    Recently, Witula and Slota have given decompositions of the Cauchy and Ferrers-Jackson polynomials [Cauchy, Ferrers-Jackson and Chebyshev polynomials and identities for the powers of elements of some conjugate recurrence ...