Browsing by Author "Ogundare, B. S."

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    Convergence of Solutions of Certain Fourth-Order Nonlinear Differential Equations
    (2007) Ogundare, B. S.; Okecha, G. E.
    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 complete Lyapunov function is employed in this work which makes the results to include and improve some existing results in literature.
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    Globally Stable Periodic Solution of Certain Fourth Order Non-Linear Differential Equations
    (2010) Ogundare, B. S.
    In this paper, we give criteria for the existence of a unique solution to a certain fourth order nonlinear differential equations which is bounded together with its derivatives on the real line, globally stable and periodic by the use of a complete Lyapunov function.
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    On the Boundedness and the Stability of Solution to Third Order Non-Linear Differential Equations
    (2008) Ogundare, B. S.; Okecha, G. E.
    In this paper we investigate the global asymptotic stability, boundedness as well as the ultimate boundedness of solutions to a general third order nonlinear differential equation, using complete Lyapunov function.
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    On the Boundedness and the Stability Results for the Solutions of Certain Third Order Non-Linear Differential Equations
    (2006) Ogundare, B. S.
    In this paper, we show the asymptotic stability of the trivial solution x = 0 for p = 0 and the boundedness as well as the ultimate boundedness result for p ≠ 0 with the use of a single complete Lyapunov function. The results obtained here improve on the results already obtained for this class of third order nonlinear differential equations.
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    On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations
    (2009) Ogundare, B. S.
    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.