Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side
| dc.contributor.author | Pavlackova, Martina | |
| dc.contributor.author | Taddei, Valentina | |
| dc.date.accessioned | 2021-10-15T13:11:39Z | |
| dc.date.available | 2021-10-15T13:11:39Z | |
| dc.date.issued | 2019-01-24 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14655 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Impulsive Dirichlet problem | |
| dc.subject | Bounding function | |
| dc.subject | Upper-Caratheodory differential inclusions | |
| dc.title | Bounding function approach for impulsive Dirichlet problems with upper-Caratheodory right-hand side | |
| dc.type | Article |