Differential inclusions and abstract control problems
1996 ◽
Vol 53
(1)
◽
pp. 109-122
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Keyword(s):
We prove an existence theorem for differential inclusions in Banach spaces. Here {A (t): t ∈ [0,T]} is a family of linear operators generating a continuous evolution operator K (t, s). We concentrate on maps F with F (t,·) weakly sequentially hemi-continuous.Moreover, we show a compactness of the set of all integral solutions of the above problem. These results are also applied to a semilinear optimal control problem. Some corollaries, important in the theory of optimal control, are given too. We extend in several ways theorems existing in the literature.
2019 ◽
Vol 25
(1)
◽
pp. 1
◽
2018 ◽
Vol 21
(6)
◽
pp. 1439-1470
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2000 ◽
Vol 23
(9)
◽
pp. 605-616
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2009 ◽
Vol 06
(07)
◽
pp. 1221-1233
◽
2018 ◽
Vol 25
(5)
◽
pp. 1080-1095
◽
1974 ◽
Vol 1
(2)
◽
pp. 163-188
◽
2007 ◽
Vol 2007
◽
pp. 1-16
◽
1975 ◽
pp. 147-152