具有多个单项式的分数阶微分系统的李雅普诺夫型不等式的研究

漆勇方, 韩丽涛, 魏胥婷

doi:10.13371/j.cnki.chin.q.j.m.2018.03.008

数学季刊 >

2018 , Vol. 33 >Issue 3: 293 - 301

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.03.008

具有多个单项式的分数阶微分系统的李雅普诺夫型不等式的研究

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School of Mathematics, Pingxiang University. School of Information, Renmin University of China. School of Mathematics and statistics, Lanzhou Jiaotong University.

HAN Li-tao(corresponding author)(1972-), male, native of Beijing, an associate professor of Renmin University of China, Ph.D., engages in Di®erential theory.

录用日期: 2017-06-11

网络出版日期: 2020-10-08

基金资助

Supported by the Natural Science Foundation of China(11661065)； the Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ161265)；

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Lyapunov-type inequalities for fractional differential systems with more than three monomials

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School of Mathematics, Pingxiang University. School of Information, Renmin University of China. School of Mathematics and statistics, Lanzhou Jiaotong University.

HAN Li-tao(corresponding author)(1972-), male, native of Beijing, an associate professor of Renmin University of China, Ph.D., engages in Di®erential theory.

Accepted date: 2017-06-11

Online published: 2020-10-08

Supported by

Supported by the Natural Science Foundation of China(11661065)； the Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ161265)；

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摘要

This paper presents Lyapunov-type inequalities for fractional differential systems with more than three monomials by using the Gronwall-Inequality and the Greens function.The results of this paper extend the research methods of similar problems and generalize some early conclusions on this topic.In addition,with the help of the results,we can analyze the solution of differential systems.

关键词： Gronwall-Inequality; Lyapunov-type inequality; Fractional di?erential system;Boundary value problem

本文引用格式

漆勇方, 韩丽涛, 魏胥婷 . 具有多个单项式的分数阶微分系统的李雅普诺夫型不等式的研究[J]. 数学季刊, 2018 , 33(3) : 293 -301 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.03.008

Abstract

Key words： Gronwall-Inequality; Lyapunov-type inequality; Fractional di?erential system;Boundary value problem

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