We consider the problem of stability of nonlinear differential equations with perturbations. Sufficient conditions for global uniform asymptotic stability in terms of Lyapunov-like functions and integral inequalities are obtained. The asymptotic behavior is studied in a sense that the trajectories converge to a small ball centered at the origin. Furthermore, an illustrative example is given in the plane to verify the efficiency of the theoretical results.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 5, pp. 627–639, May, 2021. Ukrainian DOI: 10.37863/umzh.v73i5.232.
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Dorgham, A., Hammi, M. & Hammami, M.A. Asymptotic Behavior of a Class of Perturbed Differential Equations. Ukr Math J 73, 731–745 (2021). https://doi.org/10.1007/s11253-021-01956-5
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DOI: https://doi.org/10.1007/s11253-021-01956-5