非线性Volterra积分方程非平凡解的逼近方法及其应用

APPROXIMATE METHOD OF THE NON-TRIVIAL SOLUTIONS ON NONLINEAR VOLTERRA INTEGRAL EQUATION AND ITS APPLICATION

本文对一类具有卷积核的非线性Ｖｏｌｔｅｒｒａ型积分方程进行了讨论，给出了关于这类方程的非平凡解的存在性和解的逼近方法的一些结果。通过有关微分方程问题的实例，说明了所给结果的重要应用。

In this paper, we discuss one kind of nonlinear Volterra integral equation with the convolution kernel, and give some results on the uniqueness and approximate method of the non-trivial solutions of this equation. In terms of the examples relating to the problems of differential equations, show their application.