Povzetek

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.

Ključne besede

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

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.91/.95
COBISS: 18271321 Povezava se bo odprla v novem oknu
ISSN: 0898-1221
Št. ogledov: 550
Št. prenosov: 379
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Strani: str. 3047-3065
Letnik: ǂVol. ǂ75
Zvezek: ǂiss. ǂ8
Čas izdaje: April 2018
DOI: 10.1016/j.camwa.2018.01.031
ID: 11209686