微分方程显易结构的存在性

Existence of Explicit Structure of Differential Equation

本文研究一阶微分方程x′= f(x,t)解的显易结构,给出方程存在这种结构的充要条件.由这一条件,给出具有显易结构的方程的标准形式。

This paper study theexplicitstructureofdifferentialequation x′= f(x,t). The necessary and sufficient condition ofwhethertheequation exitsuch structureispresented. Even m ore, the condition lead to the standard form ofequationsw hich isfam iliarto us.