Periodic solutions for a class of evolution inclusions

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: evolution triple, L-pseudomonotone map, extremal trajectories, strong relaxation, parabolic control system, Poincaré map
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Leto izida: 2018
• Št. strani: Str. 3047-3065
• Številčenje: Vol. 75, iss. 8
• PID: 20.500.12556/RUL-109236
• UDK: 517.91/.95
• ISSN pri članku: 0898-1221
• DOI: 10.1016/j.camwa.2018.01.031
• COBISS.SI-ID: 18271321
• Datum objave v RUL: 28.08.2019

Gradivo je del revije

• Naslov: Computers & mathematics with applications
• Skrajšan naslov: Comput. math. appl.
• Založnik: Elsevier
• ISSN: 0898-1221
• COBISS.SI-ID: 15336965