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Currently displaying 1 – 5 of 5

Order by Relevance | Title | Year of publication

Approximate and relaxed solutions of differential inclusions

Giovanni Colombo — 1989

Rendiconti del Seminario Matematico della Università di Padova

Selections and representations of multifunctions in paracompact spaces

Alberto Bressan; Giovanni Colombo — 1992

Studia Mathematica

Let (X,T) be a paracompact space, Y a complete metric space, $F : X \to 2^{Y}$ a lower semicontinuous multifunction with nonempty closed values. We prove that if $T^{+}$ is a (stronger than T) topology on X satisfying a compatibility property, then F admits a $T^{+}$ -continuous selection. If Y is separable, then there exists a sequence $(f_{n})$ of $T^{+}$ -continuous selections such that $F (x) = \bar{f_{n} (x); n \geq 1}$ for all x ∈ X. Given a Banach space E, the above result is then used to construct directionally continuous selections on arbitrary subsets of ℝ × E.

Extensions and selections of maps with decomposable values

Alberto Bressan; Giovanni Colombo — 1988

Studia Mathematica

Existence results for infinite dimensional differential equations without compactness

Giovanni Colombo; Barnabas M. Garay — 1994

Rendiconti del Seminario Matematico della Università di Padova

A continuous version of Liapunov's convexity theorem

Arrigo Cellina; Giovanni Colombo; Alessandro Fonda — 1988

Annales de l'I.H.P. Analyse non linéaire

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