We consider a system of ordinary differential equations with pulse action at fixed times that admits the trivial solution. We establish sufficient conditions for the equiasymptotic stability of the trivial solution.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 10, pp. 1317–1325, October, 2008.
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Ignat’ev, A.O. On equiasymptotic stability of solutions of doubly-periodic impulsive systems. Ukr Math J 60, 1528–1539 (2008). https://doi.org/10.1007/s11253-009-0149-5
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DOI: https://doi.org/10.1007/s11253-009-0149-5