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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integral equations in reflexive Banach spaces and weak topologies
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by Donal O’Regan PDF
Proc. Amer. Math. Soc. 124 (1996), 607-614 Request permission

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.
References
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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
  • © Copyright 1996 American Mathematical Society
  • 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