ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF POINCARE RECURRENCE SYSTEMS

被引：13

作者：

TRENCH, WF

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 1-3期

关键词：

POINCARE RECURRENCE; ASYMPTOTIC BEHAVIOR; CONDITIONAL CONVERGENCE;

D O I：

10.1016/0898-1221(94)00119-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Sufficient conditions are given for the Poincare recurrence system y(m + 1) = (A + P(m)) y(m) to have a solution y such that y(m) = lambda(m)(1 + o(1))v as m --> infinity, where lambda is an eigenvalue of the constant matrix A and v is an associated eigenvector. The summability conditions on P permit conditional convergence and the o(1) terms are specified precisely.

引用

页码：317 / 324

页数：8

共 5 条

[1]

Coffman C, 1964, T AM MATH SOC, V110, P22

[2]

THE ASYMPTOTIC ESTIMATES OF SOLUTIONS OF DIFFERENCE-EQUATIONS [J].