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45-XX Integral equations
45Nxx Abstract integral equations, integral equations in abstract spaces

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Weak and strong topologies and integral equations in Banach spaces

Donal O'Regan (1995)

Annales Polonici Mathematici

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.

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