Geodesic
On the structure of the set of solutions of a Volterra integral equation in a Banach space
Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 33-39

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an $ℛ_δ$, 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.
DOI : 10.4064/ap-59-1-33-39
Keywords: Volterra integral equation in a Banach space, $ℛ_δ$-sets

Krzysztof Czarnowski 1

1 
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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 59 (1994) no. 1, pp. 33-39. doi: 10.4064/ap-59-1-33-39

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