Exponential Dichotomy of the Two-Dimensional Linear Differential System-Reference-Cited by-同舟云学术

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Exponential Dichotomy of the Two-Dimensional Linear Differential System

Published:2022-10-13 Issue: Volume:2022 Page:1-15
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Hua Ni¹^ORCID,Jing Wang¹,Min Bai¹

Affiliation:

1. School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, Jiangsu, China

Abstract

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.

Funder

Jiangsu University

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/4411772.pdf

Reference17 articles.

1. Characteristic exponent for second order periodic linear differential equations;X. X. Chen;Annals of Differential Equations,1997

2. Stability of second-order linear differential equations with periodic coefficients;J. L. Shi;Acta Math.sci.ser.a Chin.ed,2000

3. On stability of linear time-varying second-order differential equations

4. Stability of equation x¨t+ptx˙t+qtxt=0;W. G. Huang;Sinica Ser.a,1986

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