Invariant manifolds for difference equations with generalized trichotomies

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.25

A. J. G. Bento

引用次数: 0

Abstract

On an arbitrary Banach space, assuming that a linear nonautonomous difference equation \linebreak $x_{m+1} = A_m x_m$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifolds of the perturbed equation $x_{m+1} = A_m x_m + f_m(x_m)$. Our results not only improve results already existing in the literature, but also include new cases.

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广义trichotomies差分方程的不变流形

在任意Banach空间上，假设一个线性非自治差分方程$x_{m+1}=a_mx_m$允许一种非常一般的三分法，我们建立了扰动方程$x_{m+1}=a_mx+f_m（x_m）$的全局Lipschitz不变中心流形存在的条件。我们的结果不仅改善了文献中已有的结果，还包括了新的病例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.