Pavlackova, MartinaTaddei, Valentina2021-10-152021-10-152019-01-24Pavlačková, M., & Taddei, V. (2019). Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side. <i>Electronic Journal of Differential Equations, 2019</i>(12), pp. 1-18.1072-6691https://hdl.handle.net/10877/14655In this article, we prove the existence and localization of solutions for a vector impulsive Dirichlet problem with multivalued upper-Carath\'eodory right-hand side. The result is obtained by combining the continuation principle with a bound sets technique. The main theorem is illustrated by an application to the forced pendulum equation with viscous damping term and dry friction coefficient.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalImpulsive Dirichlet problemBounding functionUpper-Caratheodory differential inclusionsArticle