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Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold

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Ukrainian Mathematical Journal Aims and scope

Sufficient conditions for the asymptotic and uniform asymptotic stability of implicit differential systems in a neighborhood of the program manifold are established. Sufficient conditions of stability are also obtained for the known first integrals. A class of implicit systems for which it is possible to find the derivative of the Lyapunov function is selected.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 4, pp. 558–565, April, 2014.

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Zhumatov, S.S. Asymptotic Stability of Implicit Differential Systems in the Vicinity of Program Manifold. Ukr Math J 66, 625–632 (2014). https://doi.org/10.1007/s11253-014-0959-y

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  • DOI: https://doi.org/10.1007/s11253-014-0959-y

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