We investigate the problem of stability of a nonlinear system on a time scale and propose a unified approach to the analysis of stability of motion based on a generalized direct Lyapunov method.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 6, pp. 776–782, June, 2008.
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Martynyuk-Chernienko, Y.A. On the theory of stability of motion of a nonlinear system on a time scale. Ukr Math J 60, 901–909 (2008). https://doi.org/10.1007/s11253-008-0103-y
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DOI: https://doi.org/10.1007/s11253-008-0103-y