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Integral equations in reflexive Banach spaces and weak topologies


Author: Donal O’Regan
Journal: Proc. Amer. Math. Soc. 124 (1996), 607-614
MSC (1991): Primary 45D05, 45G10, 45N05
DOI: https://doi.org/10.1090/S0002-9939-96-03154-1
MathSciNet review: 1301043
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Abstract: The Schauder Tychonoff theorem in a locally convex topological space is used to establish existence results for Volterra-Hammerstein and Hammerstein integral equations in a reflexive Banach space.


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Additional Information

Donal O’Regan
Affiliation: Department of Mathematics, University College Galway, Galway, Ireland
MR Author ID: 132880
Email: Donal.ORegan@ucg.ie

Received by editor(s): April 22, 1994
Received by editor(s) in revised form: September 21, 1994
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society