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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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • Çağlar, Mine; Varda-Acar, Ceren (Elsevier Science Bv, 2013-12)
    In this paper, we find bounds on the distribution of the maximum loss of fractional Brownian motion with H >= 1/2 and derive estimates on its tail probability. Asymptotically, the tail of the distribution of maximum loss ...
  • Kılıç, Emrah; Arıkan, Talha (Chiang Mai University, 2018-05-01)
    In this paper, we derive new double binomial sums families related with generalized second, third and certain higher order linear recurrences. We also present various parametric generalizations of some results of [1, 2]. ...
  • Yerlikaya-Özkurt, F.; Varda-Acar, Ceren; Yolcu-Okura, Y.; Weber, G. -W. (Elsevier Science Bv, 2014-03)
    In this study, we develop an alternative method for estimating the Hurst parameter using the conic multivariate adaptive regression splines (CMARS) method. We concentrate on the strong solutions of stochastic differential ...