FDE 存在定理的非标准分析证明

A NSA Proof of the Existence Theorem for FDE

本文将用非标准分析方法对一类积微分方程证明其解的存在性,如同 Peano 存在定理的证明一样,我们的证明是直接的,因而也是简捷的。

In this paper,using the Nonstandard Analysis (NSA)methods,we prove an existence theorem of the solutions for an Integro-differential equations x'(t)=integral from 0 to 8F(t-s,t,x(t-s)dr(s).