Positive Decreasing Solutions of Higher-Order Nonlinear Difference Equations

被引：2

作者：

Krasznai, B. ^{[1
]}

Gyori, I. ^{[1
]}

Pituk, M. ^{[1
]}

机构：

[1] Univ Pannonia, Dept Math, H-8201 Veszprem, Hungary

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

Asymptotic Formula; Characteristic Polynomial; Fast Solution; Linear Difference Equation; Linear Homogeneous Equation;

D O I：

10.1155/2010/973432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized equation. If the nonlinearity is sufficiently smooth, this result yields an asymptotic formula for the positive, monotone decreasing solutions.

引用

页数：16

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