Geodesic
On the stability of solutions of nonlinear systems with impulse structure
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 624-636

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In this paper we review the results of the authors related to the study of the stability property of solutions for nonlinear systems of differential equations, on the right-hand side of which there are terms containing products of discontinuous functions and distributions. The solutions of such systems are formalized by the closure of the set of smooth solutions in the space of functions of bounded variation. For such systems, sufficient conditions are obtained for the asymptotic stability of unperturbed solutions.
Keywords: nonlinear systems, stability, asymptotic stability.
Mots-clés : impulse action 
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     author = {N. I. Zhelonkina and A. N. Sesekin},
     title = {On the stability of solutions of nonlinear systems with impulse structure},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {624--636},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a4/}
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N. I. Zhelonkina; A. N. Sesekin. On the stability of solutions of nonlinear systems with impulse structure. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 124, pp. 624-636. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_124_a4/