Abstract | ||
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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. |
Year | DOI | Venue |
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2018 | 10.1016/j.camwa.2018.01.031 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Evolution triple,
L-pseudomonotone map,Extremal trajectories,Strong relaxation,Parabolic control system,Poincaré map | Poincaré map,Nonlinear system,Mathematical analysis,Regular polygon,Subderivative,Control system,Periodic graph (geometry),Convex optimization,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
75 | 8 | 0898-1221 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nikolaos S. Papageorgiou | 1 | 13 | 9.53 |
Vicentiu D. Radulescu | 2 | 7 | 6.43 |
Dusan Repovš | 3 | 21 | 11.09 |