Some Invariant Manifolds for Functional Difference Equations with Infinite Delay
Some Invariant Manifolds for Functional Difference Equations with Infinite Delay
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DOI：
10.1080/10236190410001685021
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发表时间：
2004-06
影响因子：
1.1
通讯作者：
Hideaki Matsunaga *a;S. Murakami
中科院分区：
文献类型：
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作者：
Hideaki Matsunaga *a;S. Murakami
对于非线性自治泛函差分方程，证明了局部稳定流形、局部不稳定流形和局部中心不稳定流形的存在性。作为应用，建立了泛函差分方程的线性化原理，即在一定条件下，非线性方程零解的稳定性和不稳定性可以由线性化方程零解的稳定性和不稳定性导出。
For nonlinear autonomous functional difference equations, the existence of the local stable manifolds, together with the local unstable manifolds and the local center-unstable manifolds, is shown. As an application, the principle of linearization which states that stabilities and instabilities for the zero solution of nonlinear equations can be derived from those of the zero solution of the linearized equations under some circumstances is established for functional difference equations.