On the impulsive Dirichlet problem for second-order differential inclusions

Autor: Martina Pavlačkovà, Valentina Taddei
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 13, Pp 1-22 (2020)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.13
Popis: Solutions in a given set of an impulsive Dirichlet boundary value problem are investigated for second-order differential inclusions. The method used for obtaining the existence and the localization of a solution is based on the combination of a fixed point index technique developed by ourselves earlier with a bound sets approach and Scorza-Dragoni type result. Since the related bounding (Liapunov-like) functions are strictly localized on the boundaries of parameter sets of candidate solutions, some trajectories are allowed to escape from these sets.
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