Mean value problems of Flett type for a Volterra operator

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.

Keywords

• Flett's mean value theorem
• Volterra operator
• integral equation
• differentiable function