Exponential Dichotomy of the Two-Dimensional Linear Differential System

   This paper deals with a class of two-dimensional linear differential systems with periodic coefficients. A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some new results are obtained.

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Main Authors: Ni Hua, Wang Jing, Bai Min
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4411772
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author Ni Hua
Wang Jing
Bai Min
author_facet Ni Hua
Wang Jing
Bai Min
author_sort Ni Hua
collection DOAJ
description    This paper deals with a class of two-dimensional linear differential systems with periodic coefficients. A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some new results are obtained.
format Article
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institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-9782b14174434a1882a6af8582d4fa842025-02-03T01:01:20ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4411772Exponential Dichotomy of the Two-Dimensional Linear Differential SystemNi Hua0Wang Jing1Bai Min2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical Sciences   This paper deals with a class of two-dimensional linear differential systems with periodic coefficients. A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some new results are obtained.http://dx.doi.org/10.1155/2022/4411772
spellingShingle Ni Hua
Wang Jing
Bai Min
Exponential Dichotomy of the Two-Dimensional Linear Differential System
Journal of Mathematics
title Exponential Dichotomy of the Two-Dimensional Linear Differential System
title_full Exponential Dichotomy of the Two-Dimensional Linear Differential System
title_fullStr Exponential Dichotomy of the Two-Dimensional Linear Differential System
title_full_unstemmed Exponential Dichotomy of the Two-Dimensional Linear Differential System
title_short Exponential Dichotomy of the Two-Dimensional Linear Differential System
title_sort exponential dichotomy of the two dimensional linear differential system
url http://dx.doi.org/10.1155/2022/4411772
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AT wangjing exponentialdichotomyofthetwodimensionallineardifferentialsystem
AT baimin exponentialdichotomyofthetwodimensionallineardifferentialsystem