Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 53, pp. 1-7.
Title: Mean value problems of Flett type for a Volterra operator
Author: Cezar Lupu (Univ. of Craiova, Romania)
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.