It is the operator corresponding to the Volterra integral equations.

He is known for finding methods to solve system of volterra integral equations.

A nonlinear Volterra integral equation has the general form:

This is contrast to Volterra integral equations.

Volterra integral equation, a generalization of the indefinite integral.

(1) represents a Volterra integral equation for .

In mathematics, the Volterra integral equations are a special type of integral equations.

In mathematical physics, he proved the fundamental uniqueness theorems for the heat equation and studied Volterra integral equations.

Volterra integral equations find application in demography, the study of viscoelastic materials, and in insurance mathematics through the renewal equation.

The Volterra integral equations were introduced by Vito Volterra and then studied by Traian Lalescu in his 1908 thesis, Sur les équations de Volterra, written under the direction of Émile Picard.