International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 11 No. 3or Keyword in Title:
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Table of Content for Vol. 11 No. 3, 2014

Distribution of Spectrum in a Direct Sum Decomposition of Operators into Normal and Completely Non-Normal Parts
Mwenda E., Musundi S. W., Nzimbi B. M., Marani V. N. and Loyford N.
      
 PP. 118 - 124
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ABSTRACT: We discuss the distribution of spectra of a direct sum decomposition of an arbitrary operator into normal and completely non normal parts. We utilize the fact that any given operator T∈B(H) can be decomposed into a direct summand T=T1⊕T2 with T1 and T2 are the normal and completely non normal parts respectively. This canonical decomposition is preferred to other forms of decomposition such as Polar and Cartesian decompositions because these two do not transfer certain properties (for instance the spectra, numerical range, and numerical radius) from the original /decomposed operator to the constituent parts. This is presumably done since these parts are simpler to deal with.


New Type of Sequence Space and Matrix Transformations
Ab. Hamid Ganie, Neyaz Ahmad Sheikh, Tanweer Jalal
      
 PP. 125 - 129
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ABSTRACT: The main purpose of the present paper is to determine the necessary and sufficient conditions on a matrix sequence A=(Av) in order that A belongs to the matrix class (bv(u,p):C) where 0<p<=∞.


Stability Analysis and Hopf Bifurcation for a Delayed Logistic Equation with Strong Allee Effect
E.M.Elabbasy, A. A. Elsadany, Waleed A.I. Elmorsi
      
 PP. 130 - 143
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ABSTRACT: In this paper, we study the stability of a delayed logistic equation with strong Allee effect. By using the associated characteristic transcendental equation, we show that the occurrence of Hopf bifurcation at the positive equilibrium. The direction and the stability of the bifurcating periodic solutions are obtained by the normal form theory and center manifold theorem. Finally, a numerical example is given to demonstrate the effectiveness of the theoretical analysis.


On the Performance of RESET and Durbin Watson Tests in Detecting Specification Error
Babatunde O.S, Oguntunde P.E, Ogunmola A. O and Balogun O.S
      
 PP. 144 - 151
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ABSTRACT: When a model is created which correctly leaves out one or more important variables, one rarely know which test has the highest power for detecting the associated specification error. This research adopts the use of bootstrapping experiment. The models investigated consist of three omitted variables which have a coefficient that varies from 0.1 through 1 and 2. A bootstrap simulation approach was used to generate data for each of the models at different sample sizes (n) 20, 30, 50, and 80 respectively, each with 100 replications(r). For the models considered, the experiment reveals that the Ramsey Regression Equation Specification Error Test (RESET test) is more efficient than that of Durbin-Watson test in detecting the error of omitted variable in specification error.


Chebyshev Wavelets Method for Fractional Boundary Value Problems
Muhammad Asad Iqbal, Ayyaz Ali and Syed Tauseef Mohyud-Din
      
 PP. 152 - 163
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ABSTRACT: Chebyshev Wavelets Method (CWM) is implemented to obtain numerical solutions of fractional fifth and sixth order linear and nonlinear boundary value problems. Computational work is fully supportive of compatibility of proposed algorithm and hence the same may be extended to other physical problems also. A very high level of accuracy explicitly reflects the reliability of this scheme for such problems.