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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Format: | Article |
Language: | English |
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Wiley
2022-01-01
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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 |
id | doaj-art-9782b14174434a1882a6af8582d4fa84 |
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 |
work_keys_str_mv | AT nihua exponentialdichotomyofthetwodimensionallineardifferentialsystem AT wangjing exponentialdichotomyofthetwodimensionallineardifferentialsystem AT baimin exponentialdichotomyofthetwodimensionallineardifferentialsystem |