Volume no :28, Issue no: 1, July

THE STUDY OF THE SOLUTION FOR THE VOLTERRA INTEGRAL EQUATION

Author's: Li Li and Jianqiang Gao
Pages: [85] - [105]
Received Date: April 14, 2014; Revised May 19, 2014
Submitted by:

Abstract

In this paper, we will study the solution for Volterra integral equation. Firstly, we prove the existence and uniqueness of the solution for the second Volterra integral equation by using Banach fixed point theorem, then we give a few solving methods for the second Volterra equation. Secondly, we will give the solving methods for the first Volterra equation. Finally, we will discuss the numerical solution for the Volterra equation.

Keywords

Volterra integral equation, Banach fixed point theorem, solution and numerical solution.