Asymptotic Expansions for Higher-Order Scalar Difference Equations

被引：0

作者：

Ravi P. Agarwal

Mihály Pituk

机构：

[1] Florida Institute of Technology,Department of Mathematical Sciences

[2] University of Veszprém,Department of Mathematics and Computing

来源：

Advances in Difference Equations | / 2007卷

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Functional Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give an asymptotic expansion of the solutions of higher-order Poincaré 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

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