# Aronszajn type theorems for integral equations on unbounded domains via maximal solutions

## Abstract

This paper discusses the topological structure of the solution set of a general Volterra integral equation. Under natural conditions we show that the solution set is an $$R_{\delta}$$ set.

## Authors

Donal O’Regan
Department of Mathematics, National University of Ireland Galway, Ireland

Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

Volterra integral equation; solution set; $$R_{\delta}$$ set.

## Paper coordinates

D. O’Regan, R. Precup, Aronszajn type theorems for integral equations on unbounded domains via maximal solutions, Fixed Point Theory, 4 (2006) no. 2, 305-313.

## PDF

##### Journal

Fixed Point Theory

##### DOI

http://www.math.ubbcluj.ro/~nodeacj/vol__7(2006)_no_2.htm

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