Periodic solutions for a class of evolution inclusionsPapageorgiou, Nikolaos S. (Avtor) Rǎdulescu, Vicenţiu (Avtor) Repovš, Dušan (Avtor) evolution tripleL-pseudomonotone mapextremal trajectoriesstrong relaxationparabolic control systemPoincaré mapWe 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.20182019-08-28 12:51:51Članek v reviji109236UDK: 517.91/.95ISSN pri članku: 0898-1221DOI: 10.1016/j.camwa.2018.01.031COBISS_ID: 18271321OceCobissID: 15336965sl