Geodesic
Implicit integral equations with discontinuous right-hand side
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 241-246
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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.
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.
Classification : 45G10, 47H04, 47H15, 47N20
Keywords: integral equations; discontinuity; bounded solutions 
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     author = {Cammaroto, Filippo and Cubiotti, Paolo},
     title = {Implicit integral equations with discontinuous right-hand side},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     year = {1997},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a3/}
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Cammaroto, Filippo; Cubiotti, Paolo. Implicit integral equations with discontinuous right-hand side. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 241-246. http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a3/