On Regulated Solutions of Impulsive Differential Equations with Variable Times

Diana Caponetti, Mieczysław Cichoń and Valeria Marraffa
Additional contact information
Diana Caponetti: Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy
Mieczysław Cichoń: Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Uniwersytetu Poznańskiego 4, 61-614 Poznań, Poland
Valeria Marraffa: Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy

Mathematics, 2020, vol. 8, issue 12, 1-15

Abstract: In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aims of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.

Keywords: regulated function; solution set; discontinuous function; impulsive problem with variable times (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/12/2164/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/12/2164/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:12:p:2164-:d:457024

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().