Publication Cover
Applicable Analysis
An International Journal
Volume 76, 2000 - Issue 1-2
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Original Articles

Fixed point sets for abstract volterra operators on fréchet spaces

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Pages 131-152 | Received 01 Mar 2000, Published online: 02 May 2007
 

Abstract

In this present article the topological of the solution ser for abstract Volterra equations is studied both in Banach spaces and in Fréchet spaces. It is shown that the solution set for certain nonlinear abstract Volterra equations in the Fréchet spaces C[0,∞) and Lp loc[0,∞) (l≤p≤∞) are Rδ sets. Applications of the main results to nonlinear classical integral equations are given

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