Browsing by Author "Idowu, A. S."

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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.