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.
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页数：19
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