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Integrable solutions of Hammerstein and Urysohn integral equations

Published online by Cambridge University Press:  09 April 2009

Józef Banaś
Józef Banaś
Affiliation:
Department of Mathematics, I. Lukasiewicz Technical University, 35-084 Rzeszów, Poznańska 2, Poland
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Abstract

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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 1 , February 1989 , pp. 61 - 68
Copyright
Copyright © Australian Mathematical Society 1989

References

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