In this article, we prove the existence and localization of solutions for a vector impulsive Dirichlet problem with multivalued upper-Carathéodory 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 coecient.
A bounding function approach to impulsive Dirichlet problem with an upper-Carathéodory right-hand side / Pavlackova, Martina; Taddei, Valentina. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2019:12(2019), pp. 1-18.
A bounding function approach to impulsive Dirichlet problem with an upper-Carathéodory right-hand side
Valentina Taddei
2019
Abstract
In this article, we prove the existence and localization of solutions for a vector impulsive Dirichlet problem with multivalued upper-Carathéodory 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 coecient.
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