J Austral Math Soc Ser A 46 pp61--68, 1989.

Integrable Solutions of Hammerstein and Urysohn Integral Equations

Jósef Banas

(Received 26 November 1986)

Abstract

In this paper we prove theorems on the existence of integrable and monotonic solutions of Hammerstein and Urysohn integral equations. The basic tool used in the proof is the fixed point principle for constructions with respect to the so-called measure of weak noncompactness.

1980 AMS Subject Classification (1985 Revision): 47H15

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Authors

Jósef Banas: Department of Mathematics, I. Lukasiewicz Technical University, 35-083 Rzeszów, Poznanska 2, Poland.

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Last Modified: Wed Feb 19 10:27:50 2003