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Mean value problems of Flett type for a Volterra operatorKeywords: Flett's mean value theorem , Volterra operator , integral equation , differentiable function Abstract: In this note we give a generalization of a mean value problem which can be viewed as a problem related to Volterra operators. This problem can be seen as a generalization of a result concerning the zeroes of a Volterra operator in the Banach space of continuous functions with null integral on a compact interval.
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