International Journal of Theoretical and Applied Mathematics

Volume 2, Issue 1, October 2016

  • Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms

    Qingying Hu, Jian Dang, Hongwei Zhang

    Issue: Volume 2, Issue 1, October 2016
    Pages: 1-6
    Received: Aug. 18, 2016
    Accepted: Sep. 10, 2016
    Published: Sep. 30, 2016
    DOI: 10.11648/j.ijtam.20160201.11
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    Abstract: In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. Under suitable conditions on the initial data, the theorem of global existence is proved by potential well method combined Galerkin procedure, and decay estimates of the energy is established by means of Nakao’s inequality.
  • Schrödinger Equation with Double- Cosine and Sine – Squared Potential by Darboux Transformation Method and Supersymmetry

    Hossein Rahbar

    Issue: Volume 2, Issue 1, October 2016
    Pages: 7-12
    Received: Sep. 06, 2016
    Accepted: Sep. 26, 2016
    Published: Oct. 14, 2016
    DOI: 10.11648/j.ijtam.20160201.12
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    Abstract: On this paper the one-dimensional Schrödinger equation for the double cosine and sine- squared potential is considered. Here, we construct the first order Darboux transformation and the real valued condition of transformed potential for two corresponding equations. In that case we obtain the transformed of potential and wave function and finally, i... Show More
  • Application of Reduced Second Order Response Surface Model of Convex Optimization in Paper Producing Industries

    Casmir Chidiebere Onyeneke, Effanga Okon Effanga

    Issue: Volume 2, Issue 1, October 2016
    Pages: 13-23
    Received: Jul. 25, 2016
    Accepted: Sep. 10, 2016
    Published: Oct. 17, 2016
    DOI: 10.11648/j.ijtam.20160201.13
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    Abstract: We are in the middle of an international financial crisis, which intensifies the demands on high quality, reliable and efficient solutions that optimize production processes, making production more efficient while minimizing cost, produce more with high quality, with few raw materials and less energy. It is these circumstances that necessitates the... Show More
  • Relationship among Government Revenue, Expenditure and Gross Domestic Product in Nigeria: Generalized Two Stage Principal Component Approach

    Adewale F. Lukman, Samuel Binuomote, Sodiq O. Omosanya

    Issue: Volume 2, Issue 1, October 2016
    Pages: 24-27
    Received: Sep. 09, 2016
    Accepted: Oct. 08, 2016
    Published: Oct. 17, 2016
    DOI: 10.11648/j.ijtam.20160201.14
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    Abstract: This study examined the relationship between gross domestic product (GDP) and some selected government revenue/expenditure namely; oil revenue, non-oil revenue, administrative expenditure, economic expenditure, social expenditure and transfer expenditure for the period 1981–2013. The econometric techniques employed in this study include Augmented D... Show More