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

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (3): 293-301.doi: 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

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

接受日期:2017-06-11 出版日期:2018-09-30 发布日期:2020-10-08
作者简介: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.
基金资助:
Supported by the Natural Science Foundation of China(11661065)； the Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ161265)；

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

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

Accepted:2017-06-11 Online:2018-09-30 Published:2020-10-08
About author: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.
Supported by:
Supported by the Natural Science Foundation of China(11661065)； the Scientific Research Foundation of Jiangxi Provincial Education Department(GJJ161265)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O172.1

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.

QI Yong-fang, HAN Li-tao, WEI Xu-ting. Lyapunov-type inequalities for fractional differential systems with more than three monomials[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(3): 293-301.

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

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

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