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Papers by Ogundare Babatunde

We give sufficient criteria for the existence of convergence of solutions for a certain class of ... more We give sufficient criteria for the existence of convergence of solutions for a certain class of fourth-order nonlinear differential equations using Lyapunov’s second method. A com-plete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature. Copyright © 2007 B. S. Ogundare and G. E. Okecha. This is an open access article dis-tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is prop-erly cited. 1.

In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p · 0 and the bo... more In this paper, we show the asymptotic stabilty of the trivial solution x = 0 for p · 0 and the boundedness as well as the ultimate boundedness result for p 6 0 with the use of a single complete Lyapunov function. The results obtained here improves on the results already obtained for this class of third order nonlinear difierential equations.

Journal of King Saud University - Computer and Information Sciences, 2019

Abstract Vehicle plate number recognition plays an important role in traffic control and surveill... more Abstract Vehicle plate number recognition plays an important role in traffic control and surveillance systems. A key stage in any vehicle plate number recognition system is to first locate the vehicle plate number. In this paper, we present a modified GrabCut algorithm for localizing vehicle plate numbers. In contrast with the traditional interactive GrabCut technique, a modified GrabCut algorithm was designed to identify and extract vehicle plate numbers in a completely automatic manner. Our approach extends the use of the traditional GrabCut algorithm with addition of a feature extraction method which uses geometric information to give accurate foreground extraction. Finally, to evaluate the performance of the proposed technique, the localization accuracy is tested with a dataset of 500 vehicle images with vehicle plates from different countries. An accuracy of 99.8% was achieved for the localization of vehicle plates. Comparative analysis is also reported.

International Journal of Applied Mathematical Research, 2015

The paper presents a one step hybrid numerical scheme with two off grid points for solving direct... more The paper presents a one step hybrid numerical scheme with two off grid points for solving directly the general second order initial value problems of ordinary differential equations. The scheme is developed using collocation and interpolation technique. The proposed scheme is consistent, zero stable and of order four. This scheme can estimate the approximate solution at both step and off step points simultaneously by using variable step size. Numerical results are given to show the efficiency of the proposed scheme over the existing schemes.

Kragujevac journal of mathematics, 2015

In this paper, sufficient criteria for the existence of solutions to uniform asymptotic stability... more In this paper, sufficient criteria for the existence of solutions to uniform asymptotic stability and boundedness problems associated with certain second order nonlinear non autonomous ordinary differential equation are established with the aid of Lyapunov's direct method. Furthermore, the appropriate complete Lyapunov function is given explicitly. Our results complement some well known results on the second order differential equations in the literature.

Tamkang Journal of Mathematics

In this paper, asymptotic stability and global asymptotic stability of solutions to a determinist... more In this paper, asymptotic stability and global asymptotic stability of solutions to a deterministic and compartmental mathematical model of measles infection is considered using the ideas of the Jacobian determinant as well as the second method of Lyapunov, criteria/conditions that guaranteed asymptotic stability of disease free equilibrium and endemic equilibrium were established. Also the basic reproductive number R_0R_0R_0 was obtained. The results in this work compliments existing work and provided further information in controlling the disease in an open population.

Journal of Mathematics and Statistics, 2009

Problem statement: Not all differential equations can be solved analytically, to overcome this pr... more Problem statement: Not all differential equations can be solved analytically, to overcome this problem, there is need to search for an accurate approximate solution. Approach: The objective of this study was to find an accurate approximation technique (scheme) for solving linear differential equations. By exploiting the Trigonometric identity property of the Chebyshev polynomial, we developed a numerical scheme referred to as the pseudo-pseudo-spectral method. Results: With the scheme developed, we were able to obtain approximate solution for certain linear differential equations. Conclusion: The numerical scheme developed in this study competes favorably with solutions obtained with standard and well known spectral methods. We presented numerical examples to validate our results and claim.

Journal of Mathematics and Statistics, 2008

New scheme for solving initial value problem of ordinary differential equation was derived. Start... more New scheme for solving initial value problem of ordinary differential equation was derived. Starting from the general method of deriving the spline function, the scheme was developed based on interpolation and collocation.

International Journal of Mathematics and Mathematical Sciences, 2007