Differential inclusions with state constraints
نویسندگان
چکیده
منابع مشابه
Trajectories of Differential Inclusions with State Constraints
The paper deals with solutions of a differential inclusion ẋ ∈ F (x) constrained to a compact convex set Ω. Here F is a compact, possibly non-convex valued, Lipschitz continuous multifunction, whose convex closure coF satisfies a strict inward pointing condition at every boundary point x ∈ ∂Ω. Given a reference trajectory x∗(·) taking values in an ε-neighborhood of Ω, we prove the existence of ...
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In the paper, we study the problem of existence of solutions to differential inclusions remaining in prescribed closed subsets of a Euclidean space. We find some new homological and homotopical sufficient conditions for existence of such trajectories. Strong deformations and multivalued admissible deformations are used as main tools. Introduction. In the paper we study the problem of existence ...
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The main purpose of the present paper is to impose onesided Lipschitz condition for differential inclusions on a closed and convex domain of a uniformly convex Banach space. Both differential inclusions with almost upper demicontinuous and almost lower semicontinuous right–hand sides are considered. The existence theorems are proved and it is shown that the set of solutions is connected. AMS Ma...
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In the paper, we study weak invariance of differential inclusions with non-fixed time impulses under compactness type assumptions. When the right-hand side is one sided Lipschitz an extension of the well known relaxation theorem is proved. In this case also necessary and sufficient condition for strong invariance of upper semi continuous systems are obtained. Some properties of the solution set...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1989
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500006933