Martina Pavlackova, Valentina Taddei
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.
Submitted May 28, 2018. Published January 24, 2019.
Math Subject Classifications: 34A60, 34B15.
Key Words: Impulsive Dirichlet problem; bounding function;
upper-Caratheodory differential inclusions.
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Martina Pavlačková Dept. of Math. Analysis and Appl. of Mathematics Fac. of Science, Palacký University 17. listopadu 12 771 46 Olomouc, Czech Republic email: martina.pavlackova@upol.cz |
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Valentina Taddei Dept. of Sciences and Methods for Engineering University of Modena and Reggio Emilia Via G. Amendola, 2 - pad. Morselli I-42122 Reggio Emilia, Italy email: valentina.taddei@unimore.it |
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