THE EXPLICIT SOLUTION OF HOMOGENEOUS LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

作     者：黄永念 

作者机构：Department of Mechanics Peking University Beijing 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：1992年第13卷第12期

页      面：1115-1120页

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：tensor differential equation characteristic tensor explicit solution 

摘      要：In this paper by using tensor analysis we give the explicit expressions of the solution of the initial-value problem of homogeneous linear differential equations with constant coefficients and the nth-order homogeneous linear differential equation with constant coefficients. In fact, we give the general formula for calculating the elements of the matrix exp[At] . We also give the results when the characteristic equation has the repeated roots. The present method is simpler and better than the other methods.