Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892003 | Computers & Mathematics with Applications | 2018 | 19 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Nikolaos S. Papageorgiou, VicenÅ£iu D. RÄdulescu, DuÅ¡an D. RepovÅ¡,