摘要
得到一个判别线性系统为单系统的方法
A method is given to decide the almost diagonal system for comparison. Theorem 2 1\ System of equations: d X d t=A(t)Xis a almost diagonal system for comparison,if (1) A(t)? 鞟 (constant matrix); (2) Eigenvalues real parts of A are all different. Also,an asymptotic solution is given for 2-dimensional almost diagonal system with special form. Theorem 2 2\ Reduced almost-constant equation for negative: d 2u d t 2+(-1+b(t)+c(t))u=0there are basic set of solutions:u ± (t)=(1+o(1)) exp ±∫ t α1-b(s) d s
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
1997年第2期135-139,共5页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
单对角系统
负简殆常方程
常微分方程
comparble diagonal system
almost diagonal system
reduced almost negative constant equation