非一致二分性:差分方程的Lipschitz不变流形
Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations
摘要:
在假设线性方程具有二分性的一般形式下,得到了非自治线性差分方程扰动的不变流形存在性的整体和局部定理.所获得的结果包括的情况下的行为是远离双曲线。我们还给出了几个新的例子,并表明我们的结果包括作为特殊情况的几个以前的定理。
英文摘要:
We obtain global and local theorems on the existence of invariant manifolds for perturbations of non autonomous linear difference equations assuming a very general form of dichotomic behavior for the linear equation. The results obtained include situations where the behavior is far from hyperbolic. We also give several new examples and show that our result includes as particular cases several previous theorems.
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