Weak and strong topologies and integral equations in Banach spaces
Annales Polonici Mathematici, Tome 61 (1995) no. 3, pp. 245-260.

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

The Schauder-Tikhonov theorem in locally convex topological spaces and an extension of Krasnosel'skiĭ's fixed point theorem due to Nashed and Wong are used to establish existence of $L^α$ and C solutions to Volterra and Hammerstein integral equations in Banach spaces.
DOI : 10.4064/ap-61-3-245-260
Keywords: Volterra, Hammerstein, existence, integral equations in abstract spaces

Donal O'Regan 1

1
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Donal O'Regan. Weak and strong topologies and integral equations in Banach spaces. Annales Polonici Mathematici, Tome 61 (1995) no. 3, pp. 245-260. doi : 10.4064/ap-61-3-245-260. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-3-245-260/

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