Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side
Date
2019-01-24
Authors
Pavlackova, Martina
Taddei, Valentina
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Impulsive Dirichlet problem, Bounding function, Upper-Caratheodory differential inclusions
Citation
Pavlačková, 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.
Rights
Attribution 4.0 International