ArticleOriginal scientific text

Title

Weak and strong topologies and integral equations in Banach spaces

Authors 1

Affiliations

  1. Department of Mathematics, University College Galway, Galway, Ireland

Abstract

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 Lα and C solutions to Volterra and Hammerstein integral equations in Banach spaces.

Keywords

Volterra, Hammerstein, existence, integral equations in abstract spaces

Bibliography

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Pages:
245-260
Main language of publication
English
Received
1994-05-18
Accepted
1994-06-30
Published
1995
Exact and natural sciences