IMPLICIT DIFFERENTIAL INCLUSIONS WITH ACYCLIC RIGHT-HAND SIDES: AN ESSENTIAL FIXED POINTS APPROACH

TitleIMPLICIT DIFFERENTIAL INCLUSIONS WITH ACYCLIC RIGHT-HAND SIDES: AN ESSENTIAL FIXED POINTS APPROACH
Publication TypeJournal Article
Year of Publication2017
AuthorsANDRES JAN, GORNIEWICZ LECH
JournalDynamic Systems and Applications
Volume26
Issue2
Start Page237
Pagination21
Date Published2017
ISSN1056-2176
AMS Subject Classification34A09, 34A60, 34B15, 54C60, 55M20
Abstract

Effective criteria are given for the solvability of initial as well as boundary value problems to implicit ordinary differential inclusions whose right-hand sides are governed by compact acyclic maps. Cauchy and periodic implicit problems are also considered on proximate retracts. Our new approach is based on the application of the topological essential fixed point theory. Implicit problems for partial differential inclusions are only indicated.
PDFhttps://acadsol.eu/dsa/articles/26/2/3.pdf
DOI10.12732/dsa.v26i2.3
Refereed DesignationRefereed