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.
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页码：111 / 117
页数：7
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