L^2[a，b]空间Voherra型积分方程解的存在性

THE EXISTENCE OF THE SOLUTION FOR VOTERRA -TYPE INTEGRAL EQUATIONS IN ABSTRACT SPACES

抽象函数的积分问题是非线性泛函的重要内容，深入研究抽象函数的积分有着重要的理论价值和应用价值．笔者利用数学归纳法在L^2[a，b]空间中给出了Voherra型积分方程解的存在性．

Nonlinear integral calculus in abstract spaces is an important branch of nonlincar analysis. It was arised in physical science with great important application. In this paper, by using mathematical induction, we get a theorem of exsistene about a class of Voterra type integral equation in abstract spaces.