Applied and Computational Mathematics

Volume 5, Issue 5, October 2016

  • Control of Bifurcation in Internet Model with Time-Delay

    Mohammad Darvishi, Haji Mohammad Mohammadinejad

    Issue: Volume 5, Issue 5, October 2016
    Pages: 186-192
    Received: 1 September 2016
    Accepted: 13 September 2016
    Published: 8 October 2016
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    Abstract: In this paper we study the Hopf bifurcation control problem of a Internet Model with Time-delay. The stable region and stability condition of the congestion control model are given by use of the linear stability analysis. When the system gain passes through a critical value, the system loses the stability and Hopf bifurcation occurs. Considering th... Show More
  • The Stability Analysis of Two-Species Competition Model with Stage Structure and Diffusion Terms

    Wang Hailing

    Issue: Volume 5, Issue 5, October 2016
    Pages: 193-201
    Received: 13 October 2016
    Published: 13 October 2016
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    Abstract: In this paper, the author proposed and considered a reaction-diffusion equation with diffusion terms and stage structure. We discussed the stability of the positive equilibrium. By using the upper-lower solutions and monotone iteration technique, we obtained the zero steady state and the boundary equilibrium were linear unstable and the unique posi... Show More
  • Smarandachely Adjacent-Vertex-Distinguishing Proper Edge Chromatic Number of CmKn

    Shunqin Liu

    Issue: Volume 5, Issue 5, October 2016
    Pages: 202-206
    Received: 16 October 2016
    Published: 17 October 2016
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    Abstract: According to different conditions, researchers have defined a great deal of coloring problems and the corresponding chromatic numbers. Such as, adjacent-vertex-distinguishing total chromatic number, adjacent-vertex-distinguishing proper edge chromatic number, smarandachely-adjacent-vertex-distinguishing proper edge chromatic number, smarandachely-a... Show More
  • Some Direct Estimates for Linear Combination of Linear Positive Convolution Operators

    B. Kunwar, V. K. Singh, Anshul Srivastava

    Issue: Volume 5, Issue 5, October 2016
    Pages: 207-212
    Received: 30 July 2016
    Accepted: 12 August 2016
    Published: 18 October 2016
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    Abstract: In this paper we have estimated some direct results for the even positive convolution integrals on C_2π, Banach space of 2 π - periodic functions. Here, positive kernels are of finite oscillations of degree 2k. Technique of linear combination is used for improving order of approximation. Property of Central factorial numbers, inverse formulas, m... Show More
  • Distributed Subgradient Algorithm for Multi-Agent Convex Optimization with Global Inequality and Equality Constraints

    Li Xiao, Junjie Bao, Xi Shi

    Issue: Volume 5, Issue 5, October 2016
    Pages: 213-229
    Received: 7 August 2016
    Accepted: 5 October 2016
    Published: 27 October 2016
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    Abstract: In this paper, we present an improved subgradient algorithm for solving a general multi-agent convex optimization problem in a distributed way, where the agents are to jointly minimize a global objective function subject to a global inequality constraint, a global equality constraint and a global constraint set. The global objective function is a c... Show More