微分方程与其伴随方程间结构关系探究

Exploring the structural relationship between differential equation and its adjoint equation

本文对常系数线性微分方程与其伴随方程之间,在特征根和特征多项式、齐次方程通解和非齐次方程通解等方面进行探究,进而探究常系数线性微分方程与其伴随方程间的结构关系.

In this paper,the structural relations between linear differential equations with constant coefficients and their adjoint equations were studied in terms of characteristic roots and characteristic polynomials,general solutions of homogeneous equations and inhomogeneous equations,and the structural relations between linear differential equations with constant coefficients and their adjoint equations were obtained.