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Implicit integral equations with discontinuous right-hand side

Filippo Cammaroto, Paolo Cubiotti (1997)

Commentationes Mathematicae Universitatis Carolinae

We consider the integral equation h ( u ( t ) ) = f ( I g ( t , x ) u ( x ) d x ) , with t [ 0 , 1 ] , and prove an existence theorem for bounded solutions where f is not assumed to be continuous.

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