Invariant foliations and stability in critical cases

被引：0

作者：

Potzsche, Christian ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2006年 / 2006卷 / 1期

关键词：

Differential Equation; Partial Differential Equation; State Space; Ordinary Differential Equation; Functional Analysis;

D O I：

10.1155/ADE/2006/57043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct invariant foliations of the extended state space for nonautonomous semilinear dynamic equations on measure chains ( time scales). These equations allow a specific parameter dependence which is the key to obtain perturbation results necessary for applications to an analytical discretization theory of ODEs. Using these invariant foliations we deduce a version of the Pliss reduction principle. Copyright (c) 2006 Christian Potzsche.

引用

页数：19

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