Asymptotic approximations for second-order linear difference equations in Banach algebras, I

被引：3

作者：

Solda, Tania ^{[2
]}

Spigler, Renato ^{[1
]}

Vianello, Marco ^{[2
]}

机构：

[1] Univ Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy

[2] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

关键词：

matrix difference equations; finite moments asymptotics; Banach algebras;

D O I：

10.1016/j.jmaa.2007.04.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An asymptotic approximation theory is developed for some classes of linear second-order difference equations in Banach algebras, subject to "finite moments perturbations." The special case of linear matrix difference equations (or, equivalently, of second-order systems) is included. Rigorous and explicitly computable bounds for the error terms are obtained. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1158 / 1170

页数：13

共 7 条

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SPIGLER, R
VIANELLO, M
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