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.
2019
12
1
18
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.
Pavlackova, Martina; Taddei, Valentina
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1174758
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