On the structure of the set of solutions of a Volterra integral equation in a Banach space
Krzysztof Czarnowski
Annales Polonici Mathematici, Tome 60 (1994), p. 33-39 / Harvested from The Polish Digital Mathematics Library
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The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an ℛδ, in particular compact and connected. The kernel is not assumed to be uniformly continuous with respect to the unknown function and the characterization is given in terms of a B₀-space of continuous functions on a noncompact domain.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:262486 
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Krzysztof Czarnowski. On the structure of the set of solutions of a Volterra integral equation in a Banach space. Annales Polonici Mathematici, Tome 60 (1994) pp. 33-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv59z1p33bwm/

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