Liouville-Green (WKB) asymptotics for almost-diagonal linear second-order matrix difference equations

被引：3

作者：

Cepale, Matteo ^{[1
]}

Spigler, Renato ^{[1
]}

机构：

[1] Roma Tre Univ, Dept Math & Phys, Rome, Italy

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2017年 / 23卷 / 10期

关键词：

Difference equations; inhomogeneous difference equations; matrix difference equations; asymptotic approximations for difference equations; WKB asymptotics; Liouville-Green asymptotics; 39A06; 39A10; 39B42; FINITE MOMENTS PERTURBATIONS; BANACH-ALGEBRAS; APPROXIMATIONS;

D O I：

10.1080/10236198.2017.1361414

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Liouville-Green (or WKB) asymptotic approximation theory is developed for a class of almost-diagonal (asymptotically diagonal') linear second-order matrixdifference equations. Rigorous and explicitly computable bounds for the error terms are obtained, the asymptotics being made with respect to both, the index and some parameter affecting the equation. The case of the associated inhomogeneous equations is also considered in detail. Some examples and a number of applications are presented for the purpose of illustration.

引用

页码：1707 / 1736

页数：30

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