ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF ASYMPTOTICALLY CONSTANT COEFFICIENT SYSTEMS OF LINEAR-DIFFERENTIAL EQUATIONS

被引：3

作者：

TRENCH, WF

机构：

[1] Department of Mathematics, Trinity University, San Antonio, TX 78212

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 30卷 / 12期

关键词：

LINEAR SYSTEM; ASYMPTOTIC BEHAVIOR; ASYMPTOTICALLY CONSTANT; CONDITIONAL CONVERGENCE;

D O I：

10.1016/0898-1221(95)00178-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are given for the n x n system y' = (A + P(t)) y to have a solution (y) over cap such that (y) over cap(t) = e(lambda t) (V + o(1)) as t --> infinity, where lambda is an eigenvalue of the constant matrix A and v is an associated eigenvector. The integrability conditions on P allow conditional convergence and the o(1) terms are specified precisely.

引用

页码：111 / 117

页数：7