Cezar Lupu
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.
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 email: cel47@pitt.edu, lupucezar@gmail.com |
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