RECIPES FOR THE SOLUTION OF VOLTERRA INTEGRAL EQUATIONS OF THE SECOND KIND

Lovitt among others points out that the solution of the Volterra, linear, integral equation of the second kind is equivalent to the solution of some n-th order, linear differential equation. With the exception of those integral equations which are soluble by direct differentiation, this equivalence...

Full description

Saved in:
Bibliographic Details
Main Author: Bridgman, Charles J
Format: Report
Language:English
Subjects:
CONVERGENCE
INTEGRAL EQUATIONS
NUMERICAL ANALYSIS
Numerical Mathematics
OPERATORS(MATHEMATICS)
PROBLEM SOLVING
SERIES(MATHEMATICS)
THEOREMS
TRANSFORMATIONS(MATHEMATICS)
VOLTERRA INTEGRAL EQUATIONS
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Lovitt among others points out that the solution of the Volterra, linear, integral equation of the second kind is equivalent to the solution of some n-th order, linear differential equation. With the exception of those integral equations which are soluble by direct differentiation, this equivalence is a little used, yet powerful technique, for solving certain classes of Volterra equations. In this paper two such classes of Volterra equations are identified and recipes for their solution are developed. (Author)