Asymptotic expansions for higher-order scalar difference equations

被引：13

作者：

Agarwal, Ravi P. ^{[1
]}

Pituk, Mihaly

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Veszprem, Dept Math & Comp, H-8201 Veszprem, Hungary

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2007年 / 2007卷 / 1期

关键词：

D O I：

10.1155/2007/67492

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an asymptotic expansion of the solutions of higher-order Poincare e difference equation in terms of the characteristic solutions of the limiting equation. As a consequence, we obtain an asymptotic description of the solutions approaching a hyperbolic equilibrium of a higher-order nonlinear difference equation with sufficiently smooth nonlinearity. The proof is based on the inversion formula for the z-transform and the residue theorem.

引用

页数：12

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