-
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:
18 August 2016
Accepted:
10 September 2016
Published:
30 September 2016
DOI:
10.11648/j.ijtam.20160201.11
Downloads:
Views:
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
Issue:
Volume 2, Issue 1, October 2016
Pages:
7-12
Received:
6 September 2016
Accepted:
26 September 2016
Published:
14 October 2016
DOI:
10.11648/j.ijtam.20160201.12
Downloads:
Views:
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, investigate the supersymmetry aspect of such corresponding equation. Also we show that the first order equation is satisfied by commutative and anti-commutative algebra with the α constant condition at different limit for the χ.
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:
25 July 2016
Accepted:
10 September 2016
Published:
17 October 2016
DOI:
10.11648/j.ijtam.20160201.13
Downloads:
Views:
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 use of response surface methodology to search for the optimal conditions for improving grinding process in case of convex situations in paper producing industries. The uniqueness of this work focused on modeling and adopting the necessary assumptions and conditions to further reduced the formulated second order response surface model to obtain a more adequate model that best optimized the production process. The design was based on the use of central composite rotatable approach known as CCRD with the grinding fineness as the response. The conditions were subjected to experimental method, search method, graphical method and feasible region approach to generate the result which is not significantly different from each other using the reduced model. We could established nine grinding conditions which involves one center points with four factorial and four axial points. The reduced second order response surface model was optimized to obtain the best grinding at machine voltage of two hundred within fifty minutes. It is on this condition that the response variable gave the value of 1399.36 meshes.
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:
9 September 2016
Accepted:
8 October 2016
Published:
17 October 2016
DOI:
10.11648/j.ijtam.20160201.14
Downloads:
Views:
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 Dickey-Fuller (ADF) test, Co-integration analysis, Generalized Two-Stage Principal Component analysis (GT-PC). ADF reveals that all the variables in their natural logarithm form are not stationary in their original level but stationary after first difference. Co-integration test shows that the variables are integrated of the same order. The Long run estimates revealed that the model suffers the problem of Autocorrelation and Multicollinearity and this necessitated the use Generalized Two-stage PC1 method to handle the problem jointly. Results revealed that there exists a positive relationship between GDP, government revenue and expenditure.
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
