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Title: Implicit integral equations with discontinuous right-hand side (English)
Author: Cammaroto, Filippo
Author: Cubiotti, Paolo
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 38
Issue: 2
Year: 1997
Pages: 241-246
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Category: math
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Summary: We consider the integral equation $h(u(t))=f\big(\int_I g(t,x)\,u(x)\,dx\big)$, with $t\in[0,1]$, and prove an existence theorem for bounded solutions where $f$ is not assumed to be continuous. (English)
Keyword: integral equations
Keyword: discontinuity
Keyword: bounded solutions
MSC: 45G10
MSC: 47H04
MSC: 47H15
MSC: 47N20
idZBL: Zbl 0886.47031
idMR: MR1455490
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Date available: 2009-01-08T18:30:28Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/118921
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