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On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments

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Abstract

This paper is devoted to the mathematical analysis of the stability, boundedness and uniform boundedness of solutions of a class of nonlinear differential equations of second order with multiple constant deviating arguments. We use Lyapunov functionals to verify the stability and boundedness of the solutions and some examples are given to illustrate the theoretical analysis in this work.

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  1. Faculty of Sciences, Department of Mathematics, Yüzüncü Yıl University, 65080, Van, Turkey

    Cemil Tunç

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  1. Cemil Tunç
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Tunç, C. On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments. Afr. Mat. 23, 249–259 (2012). https://doi.org/10.1007/s13370-011-0033-y

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