Integro-sum inequalities and motion stability of systems with impulse perturbations |
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| Affiliation: | 1. Department of Differential Equations, National Technical University of Ukraine, “KPI” 37 Peremohy Prosp., 03056 Kiev, Ukraine;2. Department Engineering of Informatics and Applied Mathematics, University of Salerno, Ponte don Melillo str., 84084 Fisciano (Salerno), Italy |
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| Abstract: | This article is devoted to the investigation of the properties of motion represented by essential nonlinear system of differential equations with impulse effect. The results, based on the solvability problem by S.A. Chaplygin for discontinuous functions, satisfy “integro-sum” inequalities. The conditions of boundedness, stability, asymptotical stability, practical stability, attraction motion for different kinds of nonlinearities of systems are obtained. |
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