Title
Periodic solutions for a class of evolution inclusions.
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.
Year
DOI
Venue
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. Papageorgiou1139.53
Vicentiu D. Radulescu276.43
Dusan Repovš32111.09