Browsing Matematik Bölümü / Department of Mathematics by Access Rights "info:eurepo/semantics/closedAccess"
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An Algorithm for the solution of second order Fuzzy Initial Value Problem
(PergamonElsevier Science Ltd, 201301)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 ... 
An algorithm for Hopf bifurcation analysis of a delayed reactiondiffusion model
(Springer, 201707)We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reactiondiffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf ... 
An analytical approach: Explicit inverses of periodic tridiagonal matrices
(Elsevier B. V., 20180601)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. ... 
Approximation by nonlinear integral operators via summability process
(WileyVCH Verlag, 202003)In this paper, we study the approximation properties of nonlinear integral operators of convolutiontype by using summability process. In the approximation, we investigate the convergence with respect to both the variation ... 
Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains
(Academic Press Inc Elsevier Science, 201506)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 ... 
Bifurcation Analysis of a Modified Tumorimmune System Interaction Model Involving Time Delay
(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 ... 
Bifurcation Analysis Of A SingleGroup Asset Flow Model
(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, ... 
Bifurcation and Stability in a Delayed PredatorPrey Model with Mixed Functional Responses
(World Scientific Publishing Co. Pte Ltd, 201506)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. ... 
Bounds on the expected value of maximum loss of fractional Brownian motion
(Elsevier B.V., 201509)It has been theoretically proven through present study that the expected value of maximum loss of fractional Brownian motion up to fixed time t with Hurst parameter [1/2, 1) is bounded above by tH??/2 and below by tH/2. ... 
Characterisation and enumeration of a class of semibent quadratic Boolean functions
(Inderscience Online, 2015)In this paper, we consider semibentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semibentness of this class has not been investigated before ... 
A class of nonsymmetric band determinants with the Gaussian qbinomialcoefficients
(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 nonsymmetric band matrices with the Gaussian qbinomial coefficients whose upper ... 
Comparison of Nonlocal Operators Utilizing Perturbation Analysis
(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 ... 
Conditioning analysis of nonlocal integral operators in fractional Sobolev spaces
(Society for Industrial and Applied Mathematics Publications, 201403)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 ... 
Cubic sums of qbinomial coefficients and the Fibonomial coefficients
(Rocky Mountain Mathematics Consortium, 2019)Triple product sums on the generalized Fibonomial and Lucanomial coefficients are evaluated in closed forms by means of Bailey’s summation formulae for two terminating wellpoised 3?2series. 
A curious matrixsum identity and certain finite sums identities
(World Scientific Publishing Co. Pte Ltd, 201509)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 ... 
The discreteness of the spectrum of the Schrödinger operator equation and some properties of the snumbers of the inverse Schrödinger operator
(John Wiley and Sons Ltd, 201905)In this article, we investigate the discreteness and some other properties of the spectrum for the Schrödinger operator L defined by the formula LY=d 2 y/dx 2 +A(A+I)/x 2 y+Q(x)y on the space L 2 (H, [0, ?)), where H is ... 
Distribution of maximum loss of fractional Brownian motion with drift
(Elsevier Science Bv, 201312)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 ... 
Error Estimation for Approximate Solutions of Delay Volterra Integral Equations
(Springer Nature Switzerland, 201911)This work is related to inequalities in the approximation theory. Mainly, we study numerical solutions of delay Volterra integral equations by using a collocation method based on sigmoidal function approximation. Error ... 
Evaluation of sums involving Gaussian qbinomial coefficients with rational weight functions
(World Scientific Publishing Co. Pte Ltd, 201603)We consider sums of the Gaussian qbinomial coefficients with a parametric rational weight function. We use the partial fraction decomposition technique to prove the claimed results. We also give some interesting applications ... 
Explicit maximal and minimal curves over finite fields of odd characteristics
(Academic Press Inc Elsevier Science, 201611)In this work we present explicit classes of maximal and minimal ArtinSchreier type curves over finite fields having odd characteristics. Our results include the proof of Conjecture 5.9 given in [1] as a very special ...