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On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay

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Abstract

This paper establishes explicit criteria in form of inequalities for all solutions to a class of second order nonlinear differential equations (with and without delay) to be bounded, ultimately bounded and globally asymptotically stable using Lyapunov second method. Obtained results are new and they complement existing results in the literature. Some examples are given to illustrate the main results.

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Authors and Affiliations

  1. Research Group in Differential Equations and Applications, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

    B. S. Ogundare, A. T. Ademola, M. O. Ogundiran & O. A. Adesina

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  1. B. S. Ogundare
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  2. A. T. Ademola
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  3. M. O. Ogundiran
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  4. O. A. Adesina
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Correspondence to O. A. Adesina.

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Ogundare, B.S., Ademola, A.T., Ogundiran, M.O. et al. On the qualitative behaviour of solutions to certain second order nonlinear differential equation with delay. Ann Univ Ferrara 63, 333–351 (2017). https://doi.org/10.1007/s11565-016-0262-y

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  • DOI: https://doi.org/10.1007/s11565-016-0262-y

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