Malaysian Journal of Mathematical Sciences Impact Factor & Information

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ISSN 1823-8343

Publications in this journal

  • Malaysian Journal of Mathematical Sciences 01/2014; 8(1):139.
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    ABSTRACT: This study attempts to model the volatility of palm oil price returns via a number of Generalized Autoregressive Conditional Heteroskedasticity class of models that capture the long-range memory, asymmetry, and heavy-tailedness phenomena. These models have been estimated in the presence of four alternative conditional distributions: Gaussian, Student t, generalized error distribution, and skewed Student t. The empirical results indicate that complex model specifications and distribution assumptions do not seem to outperform the simpler ones in terms of standard model selection criteria and numerical convergence. With regard to the conditional distributions, a symmetric fattailed distribution has been found to be preferred to Gaussian and asymmetric distribution in many cases.
    Malaysian Journal of Mathematical Sciences 01/2014; 8(1):15-34.
  • Malaysian Journal of Mathematical Sciences 01/2013;
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    ABSTRACT: In this paper, the hybrid synchronization is investigated for n-scroll chaotic Chua circuit (Wallace et al. (2001)) using adaptive backstepping control design based on recursive feedback control. Our theorems on hybrid synchronization for n-scroll chaotic Chua circuits are established using Lyapunov stability theory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predetermined desired value. The adaptive backstepping control method is effective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the flexibility to construct a control law and estimate the parameter values. Numerical simulations are also given to illustrate and validate the synchronization results derived in this paper.
    Malaysian Journal of Mathematical Sciences 01/2013; 7(2):219-246.
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    ABSTRACT: This work was intended as an attempt to extend the results on localization of Fourier-Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that the spectral expansions of the distribution on the unit sphere can be represented in terms of decompostions of Laplace-Beltrami operator. It was of interest to establish sufficient conditions for localization of the spectral expansions of distribution to clarify the latter some relevant counter examples are indicated.
    Malaysian Journal of Mathematical Sciences 01/2013; 7(2):315-326.
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    ABSTRACT: In this paper we consider an initial-value problem for diffusion equation in three dimensional Euclidean space. The initial value is a piecewise smooth function. To solve this problem we apply Fourier transform method and since Fourier integrals of a piecewise smooth function do not converge everywhere, we make use of Riesz summation method.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(1).
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    ABSTRACT: We consider spectral expansions of functions from Nikol’skii classes H p a (ℝ N ), related to selfadjoint extensions of elliptic differential operators A(D) of order m in ℝ N . We construct a continuous function from Nikol’skii class with pa<N, such that the Riesz means of spectral expansion of which diverge at the origin. This result demonstrates sharpness of the condition pa>N obtained earlier by Sh. A. Alimov [Math. USSR, Sb. 30(1976), 1–16 (1978; Zbl 0381.46029)] for uniform convergence of spectral expansions, related to elliptic differential operators.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(2).
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    ABSTRACT: We consider the problem of conservation of the basis property in Banach spaces after small perturbations for the purpose of applying the obtained results to the investigation of spectral expansions associated with differential operators. Having known asymptotics of the system of eigen and adjointed functions for differential or pseudodifferential operators, it is possible to indicate its basisness in Banach space.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(2).
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    ABSTRACT: The basic requirement of Newton’s method in solving systems of nonlinear equations is that the Jacobian must be non-singular. This condition restricts to some extent the application of Newton method. In this paper we present a modification of Newton’s method for systems of nonlinear equations where the Jacobian is singular. This is made possible by approximating the Jacobian inverse into a diagonal matrix by means of variational techniques. The anticipation of our approach is to bypass the point in which the Jacobian is singular. The local convergence of the proposed method has been proven under suitable assumptions. Numerical experiments are carried out which show that, the proposed method is very encouraging.
    Malaysian Journal of Mathematical Sciences 01/2011; 5(2).