SOME REMARKS ON THE SOLUTIONS OF A SECOND-ORDER EVOLUTION INCLUSION

TitleSOME REMARKS ON THE SOLUTIONS OF A SECOND-ORDER EVOLUTION INCLUSION
Publication TypeJournal Article
Year of Publication2018
AuthorsCERNEA AURELIAN
JournalDynamic Systems and Applications
Volume27
Issue2
Start Page319
Pagination12
Date Published04/2018
ISSN1056-2176
AMS Subject Classification34A60
Abstract

We prove the Lipschitz dependence on the initial data of the solution set of a Cauchy problem associated to a second-order evolution inclusion by using the contraction principle in the space of selections of the multifunction instead of the space of solutions. A Filippov type existence theorem for this problem is also provided.
PDFhttps://acadsol.eu/dsa/articles/27/2/7.pdf
DOI10.12732/dsa.v27i2.7
Refereed DesignationRefereed