关于一类混合型泛函积分方程最佳平方逼近方法的深层研究

An Exploration of the Best Square Approximation Method for a Kind of Mixed Functional Integral Equation

通过对泛函积分方程最佳平方逼近解法的深层研究,解决了本文第一作者2014年在《Journal of Computational and Applied Mathematics》上发表的论文存在的两个不足,证明了一类带复合因子Volterra-Fredholm混合型积分方程解析解和最佳平方逼近解的存在唯一性定理.

This paper is a deep study of the least squares approximation method for the functional integral equation, and solves the two deficiencies in a paper published by the first author of the paper in Journal of Computational and Applied Mathematics（2014）. The proof of the existence and uniqueness theorem of the analytic solution and the optimal square approximation solution for a class of Volterra-Fredholm mixed type integral equations with complex factors is given.