Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (Author)

Abstract

We consider a periodic evolution inclusion defined on an evolution triple of spaces. The inclusion involves also a subdifferential term. We prove existence theorems for both the convex and the nonconvex problem, and we also produce extremal trajectories. Moreover, we show that every solution of the convex problem can be approximated uniformly by certain extremal trajectories (strong relaxation). We illustrate our results by examining a nonlinear parabolic control system.

Keywords

evolution triple;L-pseudomonotone map;extremal trajectories;strong relaxation;parabolic control system;Poincaré map;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.91/.95
COBISS: 18271321 Link will open in a new window
ISSN: 0898-1221
Views: 550
Downloads: 379
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Type (COBISS): Article
Pages: str. 3047-3065
Volume: ǂVol. ǂ75
Issue: ǂiss. ǂ8
Chronology: April 2018
DOI: 10.1016/j.camwa.2018.01.031
ID: 11209686