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- Title
Differential inclusions and abstract control problems.
- Authors
Cichoń, Mieczyław
- Abstract
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.
- Publication
Bulletin of the Australian Mathematical Society, 1996, Vol 53, Issue 1, p109
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972700016774