Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side
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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.
CitationPavlačková, M., & Taddei, V. (2019). Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side. Electronic Journal of Differential Equations, 2019(12), pp. 1-18.
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