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.
Submitted November 10, 2012. Published February 18, 2013.
Math Subject Classifications: 26A24, 26A36, 28A15.
Key Words: Flett's mean value theorem; Volterra operator; integral equation; differentiable function.
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| Cezar Lupu |
University of Pittsburgh, Department of Mathematics
Pittsburgh, PA 15260, USA.
University of Craiova, Department of Mathematics
Str. Alexandru Ioan Cuza 13
RO - 200585, Craiova, Romania
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