Pure and Applied Mathematics Journal

Archive

Volume 5, Issue 1, February 2016

  • The Modified Sequential Linear Goal Programming Method for Solving Multiple Objectives Linear Programming Problems

    Geleta Tadele Mohammed, Birhanu Guta Hordofa

    Issue: Volume 5, Issue 1, February 2016
    Pages: 1-8
    Received: 20 September 2015
    Accepted: 27 October 2015
    Published: 25 January 2016
    DOI: 10.11648/j.pamj.20160501.11
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    Abstract: Most of real world decision making problems have multiple objectives, which cannot be optimized simultaneously due to the conflicting nature of the objectives. Such problems can be solved by various methods to obtain the best-compromise solutions. Modified Sequential Linear Goal Programming (MSLGP) method can be used to solve Multiple Objective Lin... Show More
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  • Oscillations of Neutral Difference Equations of Second Order with Positive and Negative Coefficients

    Hussain Ali Mohamad, Hala Majid Mohi

    Issue: Volume 5, Issue 1, February 2016
    Pages: 9-14
    Received: 19 November 2015
    Accepted: 7 December 2015
    Published: 29 January 2016
    DOI: 10.11648/j.pamj.20160501.12
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    Abstract: In this paper some necessary and sufficient conditions are obtained to guarantee the oscillation for bounded and all solutions of second order nonlinear neutral delay difference equations. In Theorem 5 and Theorem 8, We have studied the oscillation criteria as well as the asymptotic behavior, where was established some sufficient conditions to ensu... Show More
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  • Boundary Integral Equation Method for Unsteady Two Dimensional Flow in Unconfined Aquifer

    Azhari Ahmad Abdalla

    Issue: Volume 5, Issue 1, February 2016
    Pages: 15-22
    Received: 1 January 2016
    Accepted: 21 January 2016
    Published: 1 February 2016
    DOI: 10.11648/j.pamj.20160501.13
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    Abstract: In this paper, we employed the use of Boundary Integral Equation Method to obtain numerical solutions of specific unconfined aquifer flow problems. Of the two formulations presented in this paper, that in which the piezometric head and its normal derivative are assumed to vary linearly with time over each time step has proved more accurate than tha... Show More
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  • Derivations of First Type of Algebra of Second Class Filiform Leibniz Algebras of Dimension Derivation (n+2)

    AL-Nashri AL-Hossain Ahmad

    Issue: Volume 5, Issue 1, February 2016
    Pages: 23-31
    Received: 23 December 2015
    Accepted: 26 January 2016
    Published: 17 February 2016
    DOI: 10.11648/j.pamj.20160501.14
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    Abstract: This paper describes the derivations of first type of algebra from the second class filiform Leibniz algebras of dimension derivation (n+2). The set of all derivations of an algebra L is denoted by Der (L) From the description of the derivations, we found the basis of the space Der (Ln (a)) of the algebra.
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