HEAL DSpace

Properties of the solution set of nonlinear evolution inclusions

Αποθετήριο DSpace/Manakin

Εμφάνιση απλής εγγραφής

dc.contributor.author Papageorgiou, NS en
dc.contributor.author Shahzad, N en
dc.date.accessioned 2014-03-01T01:13:17Z
dc.date.available 2014-03-01T01:13:17Z
dc.date.issued 1997 en
dc.identifier.issn 0095-4616 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/12409
dc.subject Compact embedding en
dc.subject Connected set en
dc.subject Evolution inclusion en
dc.subject Evolution triple en
dc.subject Invariant set en
dc.subject Parabolic problem en
dc.subject Path-connected set en
dc.subject Periodic solution en
dc.subject Rδ-set en
dc.subject Tangent cone en
dc.subject.classification Mathematics, Applied en
dc.subject.other Functions en
dc.subject.other Invariance en
dc.subject.other Partial differential equations en
dc.subject.other Problem solving en
dc.subject.other Gelfand triple of spaces en
dc.subject.other Nonlinear evolution inclusions en
dc.subject.other Nonlinear equations en
dc.title Properties of the solution set of nonlinear evolution inclusions en
heal.type journalArticle en
heal.identifier.primary 10.1007/BF02683335 en
heal.identifier.secondary http://dx.doi.org/10.1007/BF02683335 en
heal.language English en
heal.publicationDate 1997 en
heal.abstract In this paper we examine nonlinear, nonautonomous evolution inclusions defined on a Gelfand triple of spaces. First we show that the problem with a convex-valued, h*-usc in x orientor field F(t, x) has a solution set which is an Rδ-set in C (T, H). Then for the problem with a nonconvex-valued F (t, x) which is h-Lipschitz in x, we show that the solution set is path-connected in C (T, H). Subsequently we prove a strong invariance result and a continuity result for the solution multifunction. Combining these two results we establish the existence of periodic solutions. Some examples of parabolic partial differential equations with multivalued terms are also included. © 1997 Springer-Verlag New York Inc. en
heal.publisher SPRINGER VERLAG en
heal.journalName Applied Mathematics and Optimization en
dc.identifier.doi 10.1007/BF02683335 en
dc.identifier.isi ISI:A1997WX23300001 en
dc.identifier.volume 36 en
dc.identifier.issue 1 en
dc.identifier.spage 1 en
dc.identifier.epage 20 en


Αρχεία σε αυτό το τεκμήριο

Αρχεία Μέγεθος Μορφότυπο Προβολή

Δεν υπάρχουν αρχεία που σχετίζονται με αυτό το τεκμήριο.

Αυτό το τεκμήριο εμφανίζεται στην ακόλουθη συλλογή(ές)

Εμφάνιση απλής εγγραφής