Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 75, Issue 8, Pages 3047-3065Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2018.01.031
Keywords
Evolution triple; L-pseudomonotone map; Extremal trajectories; Strong relaxation; Parabolic control system; Poincare map
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Funding
- Slovenian Research Agency [P1-0292, J1-8131, J1-7025, N1-0064]
- Romanian Ministry of Research and Innovation, CNCS-UEFISCDI within PNCDI III [PN-III-P4-ID-PCE-2016-0130]
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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. (C) 2018 Elsevier Ltd. All rights reserved.
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