scholarly works

Permanent URI for this collectionhttps://repository.ui.edu.ng/handle/123456789/410

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Author: search.filters.author.Ademola, T. A.Subject: search.filters.subject.Nonlinear differential equation

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    Stability, Boundedness and periodic solutions to certain second order delay differential equations
    (2017-06) Ademola, T. A.; Arawomo, P. O.; Idowu, A. S.
    Stability, boundedness and existence of a unique periodic solution to certain second order nonlinear delay differential equations is discussed. By employing Lyapunov’s direct (or second) method, a complete Lyapunov functional is constructed and used to establish sufficient conditions, on the nonlinear terms, that guarantee uniform asymptotic stability, uniform ultimate boundedness and existence of a unique periodic solution. Obtained results complement many outstanding recent results in the literature. Finally, examples are given to show the effectiveness of our method and correctness of our results.
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    Stability, boundedness and existence of periodic solutions to certain third order nonlinear differential equations
    (Palacký University Olomouc, 2015) Ademola, T. A.; Ogundiran, M. O.; Arawomo, P. O.
    In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.
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    Boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order
    (2012) Ademola, T. A.; Arawomo, P. O.
    In this paper, we use Lyapunov second method. A complete Lyapunov function was constructed and used to obtain criteria for boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of a nonlinear differential equation of the third order. Our results revise, improve and extend existing results on boundedness, uniform ultimate boundedness and asymptotic behaviour of solutions of third order nonlinear differential equations in the literature.