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Periodic solutions for a class of evolution inclusions
ID
Papageorgiou, Nikolaos S.
(
Author
),
ID
Rǎdulescu, Vicenţiu
(
Author
),
ID
Repovš, Dušan
(
Author
)
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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.
Language:
English
Keywords:
evolution triple
,
L-pseudomonotone map
,
extremal trajectories
,
strong relaxation
,
parabolic control system
,
Poincaré map
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Year:
2018
Number of pages:
Str. 3047-3065
Numbering:
Vol. 75, iss. 8
PID:
20.500.12556/RUL-109236
UDC:
517.91/.95
ISSN on article:
0898-1221
DOI:
10.1016/j.camwa.2018.01.031
COBISS.SI-ID:
18271321
Publication date in RUL:
28.08.2019
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1136
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Title:
Computers & mathematics with applications
Shortened title:
Comput. math. appl.
Publisher:
Elsevier
ISSN:
0898-1221
COBISS.SI-ID:
15336965
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