Ulam's type stability of impulsive ordinary differential equations

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Abstract

In this paper, we introduce four Ulam's type stability concepts for impulsive ordinary differential equations. By applying the integral inequality of Gronwall type for piecewise continuous functions, Ulam's type stability results for impulsive ordinary differential equations are obtained. An example is also provided to illustrate our results. © 2012 Elsevier Ltd.

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Wang, J. R., Fečkan, M., & Zhou, Y. (2012). Ulam’s type stability of impulsive ordinary differential equations. Journal of Mathematical Analysis and Applications, 395(1), 258–264. https://doi.org/10.1016/j.jmaa.2012.05.040

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