Integrable solutions of Hammerstein and Urysohn integral equations

Józef Banaś

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Source: Crossref

Published: Feb 1, 1989

DOI: 10.1017/s1446788700030378

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Source abstract

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

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