Stability and estimates for the convergence of solutions for systems involving quadratic terms with constant deviating arguments |
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Authors: | D KhusainovR P AgarwalV Davidov |
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Abstract: | In this paper, we shall consider systems of differential equations involving quadratic terms with constant deviating arguments. Stability of the systems is investigated by employing the second Lyapunov's method with a special rational function. This function provides convergence rate estimates as well as offers explicit sufficient conditions for the asymptotic stability of solutions. |
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Keywords: | Quadratic terms Deviating arguments Asymptotic stability Lyapunov's second method |
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